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105697424 = 2471576011
BaseRepresentation
bin1100100110011…
…01000010010000
321100212222121102
412103031002100
5204024304144
614253243532
72422261520
oct623150220
9240788542
10105697424
1154733048
122b4935a8
1318b89b71
1410075680
15942cb4e
hex64cd090

105697424 has 40 divisors (see below), whose sum is σ = 235574208. Its totient is φ = 45002880.

The previous prime is 105697411. The next prime is 105697439. The reversal of 105697424 is 424796501.

It is a super-2 number, since 2×1056974242 = 22343890880471552, which contains 22 as substring.

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, 14579 + ... + 20589.

Almost surely, 2105697424 is an apocalyptic number.

105697424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105697424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117787104).

105697424 is an abundant number, since it is smaller than the sum of its proper divisors (129876784).

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

105697424 is a wasteful number, since it uses less digits than its factorization.

105697424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6183 (or 6177 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 105697424 is about 10280.9252501903. The cubic root of 105697424 is about 472.8116123323.

The spelling of 105697424 in words is "one hundred five million, six hundred ninety-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 112 157 314 628 1099 1256 2198 2512 4396 6011 8792 12022 17584 24044 42077 48088 84154 96176 168308 336616 673232 943727 1887454 3774908 6606089 7549816 13212178 15099632 26424356 52848712 105697424