105680694 has 32 divisors (see below), whose sum is σ = 242357760. Its totient is φ = 30094272.

The previous prime is 105680693. The next prime is 105680711. The reversal of 105680694 is 496086501.

It is a super-2 number, since 2×105680694² = 22336818168643272, 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. Since it is squarefree, it is also a hoax number.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9127 + ... + 17165.

It is an arithmetic number, because the mean of its divisors is an integer number (7573680).

Almost surely, 2^105680694 is an apocalyptic number.

105680694 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

105680694 is an abundant number, since it is smaller than the sum of its proper divisors (136677066).

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

105680694 is a wasteful number, since it uses less digits than its factorization.

105680694 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8364.

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 105680694 is about 10280.1115752700. Note that the first 3 decimals coincide. The cubic root of 105680694 is about 472.7866651597.

The spelling of 105680694 in words is "one hundred five million, six hundred eighty thousand, six hundred ninety-four".