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106546554251412 = 223114719157896479
BaseRepresentation
bin11000001110011101001101…
…100001001010100010010100
3111222020202021120002210121020
4120032131031201022202110
5102431124320342021122
61014334451124121140
731304506640141442
oct3016351541124224
9458222246083536
10106546554251412
1130a4915a237170
12bb495295361b0
13475b3b2540422
141c44c48a79b92
15c4b7c148cc5c
hex60e74d84a894

106546554251412 has 96 divisors (see below), whose sum is σ = 276994591211520. Its totient is φ = 31598195925120.

The previous prime is 106546554251387. The next prime is 106546554251447. The reversal of 106546554251412 is 214152455645601.

It is a super-2 number, since 2×1065465542514122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118401789 + ... + 119298267.

It is an arithmetic number, because the mean of its divisors is an integer number (2885360325120).

Almost surely, 2106546554251412 is an apocalyptic number.

106546554251412 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106546554251412 is an abundant number, since it is smaller than the sum of its proper divisors (170448036960108).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106546554251412 is a wasteful number, since it uses less digits than its factorization.

106546554251412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915701 (or 915699 counting only the distinct ones).

The product of its (nonzero) digits is 5760000, while the sum is 51.

The spelling of 106546554251412 in words is "one hundred six trillion, five hundred forty-six billion, five hundred fifty-four million, two hundred fifty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 47 66 94 132 141 188 282 517 564 1034 1551 2068 3102 6204 19157 38314 57471 76628 114942 210727 229884 421454 632181 842908 896479 900379 1264362 1792958 1800758 2528724 2689437 2701137 3585916 3601516 5378874 5402274 9861269 9904169 10757748 10804548 19722538 19808338 29583807 29712507 39445076 39616676 42134513 59167614 59425014 84269026 118335228 118850028 126403539 168538052 252807078 463479643 505614156 926959286 1390438929 1853918572 2780877858 5561755716 17173848203 34347696406 51521544609 68695392812 103043089218 188912330233 206086178436 377824660466 566736990699 755649320932 807170865541 1133473981398 1614341731082 2266947962796 2421512596623 3228683462164 4843025193246 8878879520951 9686050386492 17757759041902 26636638562853 35515518083804 53273277125706 106546554251412