100418025960 has 384 divisors, whose sum is σ = 391556505600. Its totient is φ = 21834800640.

The previous prime is 100418025943. The next prime is 100418025989. The reversal of 100418025960 is 69520814001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4598187 + ... + 4619973.

It is an arithmetic number, because the mean of its divisors is an integer number (1019678400).

Almost surely, 2^100418025960 is an apocalyptic number.

100418025960 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 100418025960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195778252800).

100418025960 is an abundant number, since it is smaller than the sum of its proper divisors (291138479640).

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

100418025960 is a wasteful number, since it uses less digits than its factorization.

100418025960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21901 (or 21894 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Adding to 100418025960 its reverse (69520814001), we get a palindrome (169938839961).

The spelling of 100418025960 in words is "one hundred billion, four hundred eighteen million, twenty-five thousand, nine hundred sixty".