100172674080 has 480 divisors, whose sum is σ = 377129934720. Its totient is φ = 24952872960.

The previous prime is 100172674079. The next prime is 100172674093. The reversal of 100172674080 is 80476271001.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 30622845 + ... + 30626115.

It is an arithmetic number, because the mean of its divisors is an integer number (785687364).

Almost surely, 2^100172674080 is an apocalyptic number.

100172674080 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 100172674080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188564967360).

100172674080 is an abundant number, since it is smaller than the sum of its proper divisors (276957260640).

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

100172674080 is a wasteful number, since it uses less digits than its factorization.

100172674080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3437 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 100172674080 in words is "one hundred billion, one hundred seventy-two million, six hundred seventy-four thousand, eighty".