107252124 has 48 divisors (see below), whose sum is σ = 288976128. Its totient is φ = 30325248.

The previous prime is 107252113. The next prime is 107252141. The reversal of 107252124 is 421252701.

It is a super-2 number, since 2×107252124² = 23006036205022752, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107252094 and 107252103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1567 + ... + 14729.

It is an arithmetic number, because the mean of its divisors is an integer number (6020336).

Almost surely, 2^107252124 is an apocalyptic number.

107252124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107252124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144488064).

107252124 is an abundant number, since it is smaller than the sum of its proper divisors (181724004).

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

107252124 is a wasteful number, since it uses less digits than its factorization.

107252124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13274 (or 13272 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 107252124 is about 10356.2601357826. The cubic root of 107252124 is about 475.1185285001.

The spelling of 107252124 in words is "one hundred seven million, two hundred fifty-two thousand, one hundred twenty-four".