106261872 has 20 divisors (see below), whose sum is σ = 274509960. Its totient is φ = 35420608.

The previous prime is 106261853. The next prime is 106261919. The reversal of 106261872 is 278162601.

It is a super-2 number, since 2×106261872² = 22583170881888768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1106847 + ... + 1106942.

It is an arithmetic number, because the mean of its divisors is an integer number (13725498).

Almost surely, 2^106261872 is an apocalyptic number.

106261872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106261872 is an abundant number, since it is smaller than the sum of its proper divisors (168248088).

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

106261872 is a wasteful number, since it uses less digits than its factorization.

106261872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2213800 (or 2213794 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 106261872 is about 10308.3399245465. The cubic root of 106261872 is about 473.6517586709.

The spelling of 106261872 in words is "one hundred six million, two hundred sixty-one thousand, eight hundred seventy-two".