100878031286640 has 240 divisors, whose sum is σ = 345318725187072. Its totient is φ = 26382192685056.

The previous prime is 100878031286573. The next prime is 100878031286653. The reversal of 100878031286640 is 46682130878001.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90764529 + ... + 91869231.

Almost surely, 2^{100878031286640} is an apocalyptic number.

100878031286640 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 100878031286640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172659362593536).

100878031286640 is an abundant number, since it is smaller than the sum of its proper divisors (244440693900432).

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

100878031286640 is a wasteful number, since it uses less digits than its factorization.

100878031286640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1107168 (or 1107159 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 100878031286640 in words is "one hundred trillion, eight hundred seventy-eight billion, thirty-one million, two hundred eighty-six thousand, six hundred forty".