100983142278672 has 160 divisors (see below), whose sum is σ = 262451858672640. Its totient is φ = 33458090688000.

The previous prime is 100983142278659. The next prime is 100983142278673. The reversal of 100983142278672 is 276872241389001.

It is not an unprimeable number, because it can be changed into a prime (100983142278673) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8002461579 + ... + 8002474197.

It is an arithmetic number, because the mean of its divisors is an integer number (1640324116704).

Almost surely, 2^{100983142278672} is an apocalyptic number.

100983142278672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100983142278672 is an abundant number, since it is smaller than the sum of its proper divisors (161468716393968).

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

100983142278672 is a wasteful number, since it uses less digits than its factorization.

100983142278672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14413 (or 14407 counting only the distinct ones).

The product of its (nonzero) digits is 16257024, while the sum is 60.

The spelling of 100983142278672 in words is "one hundred trillion, nine hundred eighty-three billion, one hundred forty-two million, two hundred seventy-eight thousand, six hundred seventy-two".