100088711424 has 315 divisors, whose sum is σ = 323316957733. Its totient is φ = 30796526592.

The previous prime is 100088711419. The next prime is 100088711473. The reversal of 100088711424 is 424117880001.

The square root of 100088711424 is 316368.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 85872441600 + 14216269824 = 293040^2 + 119232^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 34 ways as a sum of consecutive naturals, for example, 7699131642 + ... + 7699131654.

Almost surely, 2^100088711424 is an apocalyptic number.

100088711424 is the 316368-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100088711424

100088711424 is an abundant number, since it is smaller than the sum of its proper divisors (223228246309).

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

100088711424 is an frugal number, since it uses more digits than its factorization.

100088711424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 18 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

Multiplying 100088711424 by its sum of digits (36), we get a square (3603193611264 = 1898208²).

100088711424 divided by its sum of digits (36) gives a square (2780241984 = 52728²).

The spelling of 100088711424 in words is "one hundred billion, eighty-eight million, seven hundred eleven thousand, four hundred twenty-four".