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106057524 = 22329304763
BaseRepresentation
bin1100101001001…
…00111100110100
321101120021120110
412110210330310
5204122320044
614305103020
72425321416
oct624447464
9241507513
10106057524
1154959651
122b627a70
1318c84a41
141012a9b6
15949e6b9
hex6524f34

106057524 has 24 divisors (see below), whose sum is σ = 256001760. Its totient is φ = 34133344.

The previous prime is 106057519. The next prime is 106057537. The reversal of 106057524 is 425750601.

It is a super-2 number, since 2×1060575242 = 22496396794021152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106057491 and 106057500.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 152034 + ... + 152729.

It is an arithmetic number, because the mean of its divisors is an integer number (10666740).

Almost surely, 2106057524 is an apocalyptic number.

It is an amenable number.

106057524 is an abundant number, since it is smaller than the sum of its proper divisors (149944236).

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

106057524 is a wasteful number, since it uses less digits than its factorization.

106057524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304799 (or 304797 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 30.

The square root of 106057524 is about 10298.4233744783. The cubic root of 106057524 is about 473.3479435196.

The spelling of 106057524 in words is "one hundred six million, fifty-seven thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 12 29 58 87 116 174 348 304763 609526 914289 1219052 1828578 3657156 8838127 17676254 26514381 35352508 53028762 106057524