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105525696 = 2631928927
BaseRepresentation
bin1100100101000…
…11000111000000
321100120021001010
412102203013000
5204003310241
614245440520
72420645043
oct622430700
9240507033
10105525696
1154626021
122b410140
1318b29953
141002cc5a
1593e6d16
hex64a31c0

105525696 has 56 divisors (see below), whose sum is σ = 293908480. Its totient is φ = 33322752.

The previous prime is 105525659. The next prime is 105525713. The reversal of 105525696 is 696525501.

It is a super-2 number, since 2×1055256962 = 22271345032568832, which 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 7 ways as a sum of consecutive naturals, for example, 10816 + ... + 18111.

Almost surely, 2105525696 is an apocalyptic number.

105525696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105525696 is an abundant number, since it is smaller than the sum of its proper divisors (188382784).

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

105525696 is a wasteful number, since it uses less digits than its factorization.

105525696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28961 (or 28951 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 39.

The square root of 105525696 is about 10272.5700776388. The cubic root of 105525696 is about 472.5554124425. Note that the first 3 decimals are identical.

The spelling of 105525696 in words is "one hundred five million, five hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 28927 57854 86781 115708 173562 231416 347124 462832 549613 694248 925664 1099226 1388496 1648839 1851328 2198452 2776992 3297678 4396904 5553984 6595356 8793808 13190712 17587616 26381424 35175232 52762848 105525696