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105697650 = 23522330637
BaseRepresentation
bin1100100110011…
…01000101110010
321100212222220210
412103031011302
5204024311100
614253244550
72422262262
oct623150562
9240788823
10105697650
1154733233
122b493756
1318b89cb6
14100757a2
15942cc50
hex64cd172

105697650 has 48 divisors (see below), whose sum is σ = 273536064. Its totient is φ = 26959680.

The previous prime is 105697609. The next prime is 105697661. The reversal of 105697650 is 56796501.

It is a super-2 number, since 2×1056976502 = 22343986431045000, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 105697599 and 105697608.

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 23 ways as a sum of consecutive naturals, for example, 11869 + ... + 18768.

It is an arithmetic number, because the mean of its divisors is an integer number (5698668).

Almost surely, 2105697650 is an apocalyptic number.

105697650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105697650 is an abundant number, since it is smaller than the sum of its proper divisors (167838414).

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

105697650 is a wasteful number, since it uses less digits than its factorization.

105697650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30675 (or 30670 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 105697650 is about 10280.9362414130. The cubic root of 105697650 is about 472.8119493174.

The spelling of 105697650 in words is "one hundred five million, six hundred ninety-seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 23 25 30 46 50 69 75 115 138 150 230 345 575 690 1150 1725 3450 30637 61274 91911 153185 183822 306370 459555 704651 765925 919110 1409302 1531850 2113953 2297775 3523255 4227906 4595550 7046510 10569765 17616275 21139530 35232550 52848825 105697650