100438474500 has 1152 divisors, whose sum is σ = 424611532800. Its totient is φ = 20015424000.

The previous prime is 100438474453. The next prime is 100438474529. The reversal of 100438474500 is 5474834001.

100438474500 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 3 + 84 + 74 + 500 = 666.

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 383 ways as a sum of consecutive naturals, for example, 303439335 + ... + 303439665.

It is an arithmetic number, because the mean of its divisors is an integer number (368586400).

Almost surely, 2^100438474500 is an apocalyptic number.

100438474500 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 100438474500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212305766400).

100438474500 is an abundant number, since it is smaller than the sum of its proper divisors (324173058300).

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

100438474500 is a wasteful number, since it uses less digits than its factorization.

100438474500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 100438474500 in words is "one hundred billion, four hundred thirty-eight million, four hundred seventy-four thousand, five hundred".