107146872 has 48 divisors (see below), whose sum is σ = 331646640. Its totient is φ = 30613248.

The previous prime is 107146847. The next prime is 107146873. The reversal of 107146872 is 278641701.

It is a super-2 number, since 2×107146872² = 22960904358768768, 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 not an unprimeable number, because it can be changed into a prime (107146873) 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, 105793 + ... + 106800.

It is an arithmetic number, because the mean of its divisors is an integer number (6909305).

Almost surely, 2^107146872 is an apocalyptic number.

107146872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107146872 is an abundant number, since it is smaller than the sum of its proper divisors (224499768).

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

107146872 is a wasteful number, since it uses less digits than its factorization.

107146872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212612 (or 212605 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 107146872 is about 10351.1773243434. The cubic root of 107146872 is about 474.9630582535.

The spelling of 107146872 in words is "one hundred seven million, one hundred forty-six thousand, eight hundred seventy-two".