100188990720 has 2160 divisors, whose sum is σ = 472490737488. Its totient is φ = 20065812480.

The previous prime is 100188990701. The next prime is 100188990743. The reversal of 100188990720 is 27099881001.

It can be written as a sum of positive squares in 8 ways, for example, as 9958443264 + 90230547456 = 99792^2 + 300384^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×100188990720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2443633900 + ... + 2443633940.

Almost surely, 2^100188990720 is an apocalyptic number.

100188990720 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 100188990720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236245368744).

100188990720 is an abundant number, since it is smaller than the sum of its proper divisors (372301746768).

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

100188990720 is a wasteful number, since it uses less digits than its factorization.

100188990720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 45.

The spelling of 100188990720 in words is "one hundred billion, one hundred eighty-eight million, nine hundred ninety thousand, seven hundred twenty".