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106161446025 = 325231142910651
BaseRepresentation
bin110001011011110110…
…1110001110010001001
3101011000120111020020100
41202313231301302021
53214404312233100
6120434144120013
710445531254665
oct1426755616211
9334016436210
10106161446025
1141028406758
12186a9306009
13a01b1841ab
1451d14978a5
152b65113400
hex18b7b71c89

106161446025 has 72 divisors (see below), whose sum is σ = 196436514560. Its totient is φ = 54749520000.

The previous prime is 106161446023. The next prime is 106161446071. The reversal of 106161446025 is 520644161601.

106161446025 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 6 + 1 + 44 + 602 + 5 = 666.

It is not a de Polignac number, because 106161446025 - 21 = 106161446023 is a prime.

It is a super-2 number, since 2×1061614460252 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106161446023) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9961950 + ... + 9972600.

Almost surely, 2106161446025 is an apocalyptic number.

106161446025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106161446025 is a deficient number, since it is larger than the sum of its proper divisors (90275068535).

106161446025 is a wasteful number, since it uses less digits than its factorization.

106161446025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12127 (or 12119 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 106161446025 in words is "one hundred six billion, one hundred sixty-one million, four hundred forty-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 279 465 775 1395 1429 2325 4287 6975 7145 10651 12861 21435 31953 35725 44299 53255 64305 95859 107175 132897 159765 221495 266275 321525 330181 398691 479295 664485 798825 990543 1107475 1650905 1993455 2396475 2971629 3322425 4952715 8254525 9967275 14858145 15220279 24763575 45660837 74290725 76101395 136982511 228304185 380506975 471828649 684912555 1141520925 1415485947 2359143245 3424562775 4246457841 7077429735 11795716225 21232289205 35387148675 106161446025