100780851600 has 1215 divisors, whose sum is σ = 427822447689. Its totient is φ = 21942835200.

The previous prime is 100780851583. The next prime is 100780851601. The reversal of 100780851600 is 6158087001.

The square root of 100780851600 is 317460.

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

It can be written as a sum of positive squares in 13 ways, for example, as 58160074896 + 42620776704 = 241164^2 + 206448^2 .

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

It is not an unprimeable number, because it can be changed into a prime (100780851601) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 2723806782 + ... + 2723806818.

Almost surely, 2^100780851600 is an apocalyptic number.

100780851600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100780851600 is the 317460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100780851600

100780851600 is an abundant number, since it is smaller than the sum of its proper divisors (327041596089).

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

100780851600 is a wasteful number, since it uses less digits than its factorization.

100780851600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

Multiplying 100780851600 by its sum of digits (36), we get a square (3628110657600 = 1904760²).

100780851600 divided by its sum of digits (36) gives a square (2799468100 = 52910²).

The spelling of 100780851600 in words is "one hundred billion, seven hundred eighty million, eight hundred fifty-one thousand, six hundred".