107013900 has 144 divisors (see below), whose sum is σ = 357477120. Its totient is φ = 24211200.

The previous prime is 107013887. The next prime is 107013931. The reversal of 107013900 is 9310701.

It is a super-2 number, since 2×107013900² = 22903949586420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a zygodrome in base 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274906 + ... + 275294.

It is an arithmetic number, because the mean of its divisors is an integer number (2482480).

Almost surely, 2^107013900 is an apocalyptic number.

107013900 is a gapful number since it is divisible by the number (10) 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 107013900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178738560).

107013900 is an abundant number, since it is smaller than the sum of its proper divisors (250463220).

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

107013900 is a wasteful number, since it uses less digits than its factorization.

107013900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 189, while the sum is 21.

The square root of 107013900 is about 10344.7522928294. The cubic root of 107013900 is about 474.7664964967.

The spelling of 107013900 in words is "one hundred seven million, thirteen thousand, nine hundred".