100539100800 has 384 divisors, whose sum is σ = 379824499200. Its totient is φ = 25944883200.

The previous prime is 100539100787. The next prime is 100539100807. The reversal of 100539100800 is 8001935001.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×100539100800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100539100807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2659632 + ... + 2697168.

It is an arithmetic number, because the mean of its divisors is an integer number (989126300).

Almost surely, 2^100539100800 is an apocalyptic number.

100539100800 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 100539100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189912249600).

100539100800 is an abundant number, since it is smaller than the sum of its proper divisors (279285398400).

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

100539100800 is a wasteful number, since it uses less digits than its factorization.

100539100800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37601 (or 37578 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 100539100800 in words is "one hundred billion, five hundred thirty-nine million, one hundred thousand, eight hundred".