100405672488 has 192 divisors, whose sum is σ = 311157400320. Its totient is φ = 28973376000.

The previous prime is 100405672439. The next prime is 100405672511. The reversal of 100405672488 is 884276504001.

100405672488 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 0 + 567 + 2 + 4 + 88 = 666.

It is a super-2 number, since 2×100405672488² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

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, 1340838 + ... + 1413738.

It is an arithmetic number, because the mean of its divisors is an integer number (1620611460).

Almost surely, 2^100405672488 is an apocalyptic number.

100405672488 is a gapful number since it is divisible by the number (18) 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 100405672488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155578700160).

100405672488 is an abundant number, since it is smaller than the sum of its proper divisors (210751727832).

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

100405672488 is a wasteful number, since it uses less digits than its factorization.

100405672488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73008 (or 73001 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 100405672488 in words is "one hundred billion, four hundred five million, six hundred seventy-two thousand, four hundred eighty-eight".