105457572 has 96 divisors (see below), whose sum is σ = 308649600. Its totient is φ = 30844800.

The previous prime is 105457571. The next prime is 105457591. The reversal of 105457572 is 275754501.

105457572 is a `hidden beast` number, since 10 + 5 + 4 + 575 + 72 = 666.

It is a super-2 number, since 2×105457572² = 22242598984270368, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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 (105457571) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32922 + ... + 35982.

It is an arithmetic number, because the mean of its divisors is an integer number (3215100).

Almost surely, 2^105457572 is an apocalyptic number.

105457572 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 105457572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154324800).

105457572 is an abundant number, since it is smaller than the sum of its proper divisors (203192028).

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

105457572 is a wasteful number, since it uses less digits than its factorization.

105457572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3106 counting only the distinct ones).

The product of its (nonzero) digits is 49000, while the sum is 36.

The square root of 105457572 is about 10269.2537216684. The cubic root of 105457572 is about 472.4537016868.

The spelling of 105457572 in words is "one hundred five million, four hundred fifty-seven thousand, five hundred seventy-two".