100979043984 has 675 divisors, whose sum is σ = 371977356267. Its totient is φ = 26357280768.

The previous prime is 100979043973. The next prime is 100979044003. The reversal of 100979043984 is 489340979001.

The square root of 100979043984 is 317772.

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

100979043984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 18449245584 + 82529798400 = 135828^2 + 287280^2 .

It is a super-3 number, since 3×100979043984³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 100979043984.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1041021024 + ... + 1041021120.

Almost surely, 2^100979043984 is an apocalyptic number.

100979043984 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100979043984 is the 317772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100979043984

100979043984 is an abundant number, since it is smaller than the sum of its proper divisors (270998312283).

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

100979043984 is an equidigital number, since it uses as much as digits as its factorization.

100979043984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

It can be divided in two parts, 10097 and 9043984, that added together give a square (9054081 = 3009²).

The spelling of 100979043984 in words is "one hundred billion, nine hundred seventy-nine million, forty-three thousand, nine hundred eighty-four".