107938100 has 36 divisors (see below), whose sum is σ = 248007564. Its totient is φ = 40634880.

The previous prime is 107938099. The next prime is 107938109. The reversal of 107938100 is 1839701.

It can be written as a sum of positive squares in 6 ways, for example, as 9412624 + 98525476 = 3068^2 + 9926^2 .

It is a super-2 number, since 2×107938100² = 23301266863220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107938109) 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, 30047 + ... + 33446.

It is an arithmetic number, because the mean of its divisors is an integer number (6889099).

Almost surely, 2^107938100 is an apocalyptic number.

107938100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107938100 is an abundant number, since it is smaller than the sum of its proper divisors (140069464).

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

107938100 is a wasteful number, since it uses less digits than its factorization.

107938100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63524 (or 63517 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 107938100 is about 10389.3262534199. The cubic root of 107938100 is about 476.1293166056.

The spelling of 107938100 in words is "one hundred seven million, nine hundred thirty-eight thousand, one hundred".