105708672 has 128 divisors (see below), whose sum is σ = 317016000. Its totient is φ = 34670592.

The previous prime is 105708671. The next prime is 105708677. The reversal of 105708672 is 276807501.

105708672 is a `hidden beast` number, since 1 + 0 + 570 + 86 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×105708672² = 22348646672007168, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (105708671) 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, 252079 + ... + 252497.

Almost surely, 2^105708672 is an apocalyptic number.

105708672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105708672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158508000).

105708672 is an abundant number, since it is smaller than the sum of its proper divisors (211307328).

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

105708672 is an equidigital number, since it uses as much as digits as its factorization.

105708672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 105708672 is about 10281.4722681141. The cubic root of 105708672 is about 472.8283834644.

The spelling of 105708672 in words is "one hundred five million, seven hundred eight thousand, six hundred seventy-two".