105690744 has 80 divisors (see below), whose sum is σ = 297819720. Its totient is φ = 35017920.

The previous prime is 105690737. The next prime is 105690763. The reversal of 105690744 is 447096501.

It is a super-2 number, since 2×105690744² = 22341066734547072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 105690699 and 105690708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 136342 + ... + 137114.

Almost surely, 2^105690744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105690744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148909860).

105690744 is an abundant number, since it is smaller than the sum of its proper divisors (192128976).

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

105690744 is a wasteful number, since it uses less digits than its factorization.

105690744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 105690744 is about 10280.6003715736. The cubic root of 105690744 is about 472.8016516730.

The spelling of 105690744 in words is "one hundred five million, six hundred ninety thousand, seven hundred forty-four".