106492572 has 36 divisors (see below), whose sum is σ = 270761400. Its totient is φ = 35290272.

The previous prime is 106492567. The next prime is 106492583. The reversal of 106492572 is 275294601.

106492572 is a `hidden beast` number, since 1 + 0 + 649 + 2 + 5 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106492572² = 22681335782350368, which contains 22 as substring.

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

It is a congruent number.

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, 2322 + ... + 14777.

It is an arithmetic number, because the mean of its divisors is an integer number (7521150).

Almost surely, 2^106492572 is an apocalyptic number.

106492572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106492572 is an abundant number, since it is smaller than the sum of its proper divisors (164268828).

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

106492572 is a wasteful number, since it uses less digits than its factorization.

106492572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17282 (or 17277 counting only the distinct ones).

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

The square root of 106492572 is about 10319.5238262238. The cubic root of 106492572 is about 473.9942850350.

It can be divided in two parts, 1064 and 92572, that added together give a square (93636 = 306²).

The spelling of 106492572 in words is "one hundred six million, four hundred ninety-two thousand, five hundred seventy-two".