106572 has 24 divisors (see below), whose sum is σ = 254016. Its totient is φ = 34768.

The previous prime is 106543. The next prime is 106591. The reversal of 106572 is 275601.

It is a super-2 number, since 2×106572² = 22715182368, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 943 + ... + 1049.

It is an arithmetic number, because the mean of its divisors is an integer number (10584).

2¹⁰⁶⁵⁷² is an apocalyptic number.

106572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106572 is an abundant number, since it is smaller than the sum of its proper divisors (147444).

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

106572 is a wasteful number, since it uses less digits than its factorization.

106572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 106572 is about 326.4536720578. The cubic root of 106572 is about 47.4112099393.

The spelling of 106572 in words is "one hundred six thousand, five hundred seventy-two".