105672744 has 48 divisors (see below), whose sum is σ = 293185620. Its totient is φ = 34364160.

The previous prime is 105672719. The next prime is 105672751. The reversal of 105672744 is 447276501.

It can be written as a sum of positive squares in 2 ways, for example, as 78110244 + 27562500 = 8838^2 + 5250^2 .

It is a super-2 number, since 2×105672744² = 22333457648979072, 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 = 105672699 and 105672708.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14947 + ... + 20850.

Almost surely, 2^105672744 is an apocalyptic number.

It is an amenable number.

105672744 is an abundant number, since it is smaller than the sum of its proper divisors (187512876).

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

105672744 is a wasteful number, since it uses less digits than its factorization.

105672744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35850 (or 35843 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 105672744 is about 10279.7248990428. The cubic root of 105672744 is about 472.7748094836.

The spelling of 105672744 in words is "one hundred five million, six hundred seventy-two thousand, seven hundred forty-four".