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105680692 = 22134094969
BaseRepresentation
bin1100100110010…
…00111100110100
321100212010122201
412103020330310
5204023240232
614253034244
72422161655
oct623107464
9240763581
10105680692
1154721517
122b485984
1318b82370
141006d52c
159427be7
hex64c8f34

105680692 has 24 divisors (see below), whose sum is σ = 199694600. Its totient is φ = 48646656.

The previous prime is 105680677. The next prime is 105680693. The reversal of 105680692 is 296086501.

105680692 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8145316 + 97535376 = 2854^2 + 9876^2 .

It is a super-2 number, since 2×1056806922 = 22336817323197728, which contains 22 as substring.

105680692 is strictly pandigital in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105680693) by changing a digit.

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, 18784 + ... + 23752.

Almost surely, 2105680692 is an apocalyptic number.

It is an amenable number.

105680692 is a deficient number, since it is larger than the sum of its proper divisors (94013908).

105680692 is a wasteful number, since it uses less digits than its factorization.

105680692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5395 (or 5393 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The square root of 105680692 is about 10280.1114779948. Note that the first 3 decimals coincide. The cubic root of 105680692 is about 472.7866621772.

The spelling of 105680692 in words is "one hundred five million, six hundred eighty thousand, six hundred ninety-two".

Divisors: 1 2 4 13 26 52 409 818 1636 4969 5317 9938 10634 19876 21268 64597 129194 258388 2032321 4064642 8129284 26420173 52840346 105680692