107341416900 has 243 divisors, whose sum is σ = 343660654701. Its totient is φ = 28024159680.

The previous prime is 107341416857. The next prime is 107341416929. The reversal of 107341416900 is 9614143701.

The square root of 107341416900 is 327630.

It is a perfect power (a square), and thus also a powerful number.

107341416900 is a `hidden beast` number, since 10 + 73 + 414 + 169 + 0 + 0 = 666.

107341416900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 38642910084 + 68698506816 = 196578^2 + 262104^2 .

It is a super-2 number, since 2×107341416900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 658536219 + ... + 658536381.

Almost surely, 2^107341416900 is an apocalyptic number.

107341416900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107341416900 is the 327630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107341416900

107341416900 is an abundant number, since it is smaller than the sum of its proper divisors (236319237801).

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

107341416900 is a wasteful number, since it uses less digits than its factorization.

107341416900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Multiplying 107341416900 by its sum of digits (36), we get a square (3864291008400 = 1965780²).

107341416900 divided by its sum of digits (36) gives a square (2981706025 = 54605²).

The spelling of 107341416900 in words is "one hundred seven billion, three hundred forty-one million, four hundred sixteen thousand, nine hundred".