107982300 has 144 divisors (see below), whose sum is σ = 341978112. Its totient is φ = 26188800.

The previous prime is 107982239. The next prime is 107982307. The reversal of 107982300 is 3289701.

It is a happy number.

It is a super-2 number, since 2×107982300² = 23320354226580000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107982307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157759 + ... + 158441.

It is an arithmetic number, because the mean of its divisors is an integer number (2374848).

Almost surely, 2^107982300 is an apocalyptic number.

107982300 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 107982300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170989056).

107982300 is an abundant number, since it is smaller than the sum of its proper divisors (233995812).

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

107982300 is a wasteful number, since it uses less digits than its factorization.

107982300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 30.

The square root of 107982300 is about 10391.4532188717. The cubic root of 107982300 is about 476.1942984296.

The spelling of 107982300 in words is "one hundred seven million, nine hundred eighty-two thousand, three hundred".