100674288960 has 224 divisors, whose sum is σ = 366501273600. Its totient is φ = 22935840768.

The previous prime is 100674288937. The next prime is 100674288961. The reversal of 100674288960 is 69882476001.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100674288961) 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 31 ways as a sum of consecutive naturals, for example, 2038641 + ... + 2087439.

It is an arithmetic number, because the mean of its divisors is an integer number (1636166400).

Almost surely, 2^100674288960 is an apocalyptic number.

100674288960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100674288960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183250636800).

100674288960 is an abundant number, since it is smaller than the sum of its proper divisors (265826984640).

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

100674288960 is a wasteful number, since it uses less digits than its factorization.

100674288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49133 (or 49123 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The spelling of 100674288960 in words is "one hundred billion, six hundred seventy-four million, two hundred eighty-eight thousand, nine hundred sixty".