100146574088 has 128 divisors (see below), whose sum is σ = 219678842880. Its totient is φ = 42369600000.

The previous prime is 100146574069. The next prime is 100146574103. The reversal of 100146574088 is 880475641001.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 31 ways as a sum of consecutive naturals, for example, 7934903 + ... + 7947513.

It is an arithmetic number, because the mean of its divisors is an integer number (1716240960).

Almost surely, 2^100146574088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100146574088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109839421440).

100146574088 is an abundant number, since it is smaller than the sum of its proper divisors (119532268792).

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

100146574088 is a wasteful number, since it uses less digits than its factorization.

100146574088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12771 (or 12767 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 44.

The spelling of 100146574088 in words is "one hundred billion, one hundred forty-six million, five hundred seventy-four thousand, eighty-eight".