107142600 has 48 divisors (see below), whose sum is σ = 332143920. Its totient is φ = 28571200.

The previous prime is 107142589. The next prime is 107142601. The reversal of 107142600 is 6241701.

It is a super-2 number, since 2×107142600² = 22959073469520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107142601) 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, 88686 + ... + 89885.

It is an arithmetic number, because the mean of its divisors is an integer number (6919665).

Almost surely, 2^107142600 is an apocalyptic number.

107142600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107142600 is an abundant number, since it is smaller than the sum of its proper divisors (225001320).

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

107142600 is a wasteful number, since it uses less digits than its factorization.

107142600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178590 (or 178581 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 107142600 is about 10350.9709689478. The cubic root of 107142600 is about 474.9567458305.

The spelling of 107142600 in words is "one hundred seven million, one hundred forty-two thousand, six hundred".