100176768480 has 96 divisors (see below), whose sum is σ = 315843040800. Its totient is φ = 26689574912.

The previous prime is 100176768469. The next prime is 100176768487. The reversal of 100176768480 is 84867671001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100176768487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 438226 + ... + 626414.

It is an arithmetic number, because the mean of its divisors is an integer number (3290031675).

Almost surely, 2^100176768480 is an apocalyptic number.

100176768480 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 100176768480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157921520400).

100176768480 is an abundant number, since it is smaller than the sum of its proper divisors (215666272320).

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

100176768480 is a wasteful number, since it uses less digits than its factorization.

100176768480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189316 (or 189308 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 48.

The spelling of 100176768480 in words is "one hundred billion, one hundred seventy-six million, seven hundred sixty-eight thousand, four hundred eighty".