100918980870400 has 1728 divisors, whose sum is σ = 328347584409600. Its totient is φ = 29794222080000.

The previous prime is 100918980870377. The next prime is 100918980870401. The reversal of 100918980870400 is 4078089819001.

It is a super-2 number, since 2×100918980870400² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (100918980870401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 200634156549 + ... + 200634157051.

It is an arithmetic number, because the mean of its divisors is an integer number (190015963200).

Almost surely, 2^{100918980870400} is an apocalyptic number.

100918980870400 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 100918980870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164173792204800).

100918980870400 is an abundant number, since it is smaller than the sum of its proper divisors (227428603539200).

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

100918980870400 is a wasteful number, since it uses less digits than its factorization.

100918980870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 55.

The spelling of 100918980870400 in words is "one hundred trillion, nine hundred eighteen billion, nine hundred eighty million, eight hundred seventy thousand, four hundred".