106846872 has 48 divisors (see below), whose sum is σ = 293616120. Its totient is φ = 32376960.

The previous prime is 106846871. The next prime is 106846877. The reversal of 106846872 is 278648601.

It is a super-2 number, since 2×106846872² = 22832508112368768, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106846871) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15493 + ... + 21300.

Almost surely, 2^106846872 is an apocalyptic number.

106846872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106846872 is an abundant number, since it is smaller than the sum of its proper divisors (186769248).

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

106846872 is a wasteful number, since it uses less digits than its factorization.

106846872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36824 (or 36809 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 42.

The square root of 106846872 is about 10336.6760614813. The cubic root of 106846872 is about 474.5193616505.

The spelling of 106846872 in words is "one hundred six million, eight hundred forty-six thousand, eight hundred seventy-two".