100890724363 has 16 divisors (see below), whose sum is σ = 119702534112. Its totient is φ = 83825280000.

The previous prime is 100890724301. The next prime is 100890724391. The reversal of 100890724363 is 363427098001.

It is not a de Polignac number, because 100890724363 - 2²¹ = 100888627211 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100890724393) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3478278 + ... + 3507163.

It is an arithmetic number, because the mean of its divisors is an integer number (7481408382).

Almost surely, 2^100890724363 is an apocalyptic number.

100890724363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100890724363 is a deficient number, since it is larger than the sum of its proper divisors (18811809749).

100890724363 is a wasteful number, since it uses less digits than its factorization.

100890724363 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6985566.

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 100890724363 in words is "one hundred billion, eight hundred ninety million, seven hundred twenty-four thousand, three hundred sixty-three".