100878375306000 has 640 divisors, whose sum is σ = 345961417052160. Its totient is φ = 25216593408000.

The previous prime is 100878375305987. The next prime is 100878375306011. The reversal of 100878375306000 is 603573878001.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17883063180 + ... + 17883068820.

It is an arithmetic number, because the mean of its divisors is an integer number (540564714144).

Almost surely, 2^{100878375306000} is an apocalyptic number.

100878375306000 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 100878375306000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172980708526080).

100878375306000 is an abundant number, since it is smaller than the sum of its proper divisors (245083041746160).

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

100878375306000 is a wasteful number, since it uses less digits than its factorization.

100878375306000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7312 (or 7296 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 100878375306000 in words is "one hundred trillion, eight hundred seventy-eight billion, three hundred seventy-five million, three hundred six thousand".