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106056084 = 223311372081
BaseRepresentation
bin1100101001001…
…00100110010100
321101120012121010
412110210212110
5204122243314
614305052220
72425314261
oct624444624
9241505533
10106056084
1154958562
122b627070
1318c841a4
141012a268
15949e059
hex6524994

106056084 has 48 divisors (see below), whose sum is σ = 257435136. Its totient is φ = 33945600.

The previous prime is 106056077. The next prime is 106056091. The reversal of 106056084 is 480650601.

It is an interprime number because it is at equal distance from previous prime (106056077) and next prime (106056091).

It is a super-2 number, since 2×1060560842 = 22495785906830112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49924 + ... + 52004.

It is an arithmetic number, because the mean of its divisors is an integer number (5363232).

Almost surely, 2106056084 is an apocalyptic number.

It is an amenable number.

106056084 is an abundant number, since it is smaller than the sum of its proper divisors (151379052).

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

106056084 is a wasteful number, since it uses less digits than its factorization.

106056084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 106056084 is about 10298.3534606266. The cubic root of 106056084 is about 473.3458012101.

The spelling of 106056084 in words is "one hundred six million, fifty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 12 31 62 93 124 137 186 274 372 411 548 822 1644 2081 4162 4247 6243 8324 8494 12486 12741 16988 24972 25482 50964 64511 129022 193533 258044 285097 387066 570194 774132 855291 1140388 1710582 3421164 8838007 17676014 26514021 35352028 53028042 106056084