100464518880 has 1152 divisors, whose sum is σ = 410236130304. Its totient is φ = 22325022720.

The previous prime is 100464518867. The next prime is 100464518927. The reversal of 100464518880 is 88815464001.

100464518880 is a `hidden beast` number, since 1 + 0 + 0 + 46 + 451 + 88 + 80 = 666.

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 191 ways as a sum of consecutive naturals, for example, 1895556934 + ... + 1895556986.

It is an arithmetic number, because the mean of its divisors is an integer number (356107752).

Almost surely, 2^100464518880 is an apocalyptic number.

100464518880 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 100464518880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205118065152).

100464518880 is an abundant number, since it is smaller than the sum of its proper divisors (309771611424).

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

100464518880 is a wasteful number, since it uses less digits than its factorization.

100464518880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 100464518880 in words is "one hundred billion, four hundred sixty-four million, five hundred eighteen thousand, eight hundred eighty".