100938700800 has 1728 divisors, whose sum is σ = 458383161600. Its totient is φ = 21499084800.

The previous prime is 100938700799. The next prime is 100938700801. The reversal of 100938700800 is 8007839001.

It is an interprime number because it is at equal distance from previous prime (100938700799) and next prime (100938700801).

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100938700801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1654732770 + ... + 1654732830.

Almost surely, 2^100938700800 is an apocalyptic number.

100938700800 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 100938700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229191580800).

100938700800 is an abundant number, since it is smaller than the sum of its proper divisors (357444460800).

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

100938700800 is an equidigital number, since it uses as much as digits as its factorization.

100938700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 100938700800 in words is "one hundred billion, nine hundred thirty-eight million, seven hundred thousand, eight hundred".