100005146966400 has 768 divisors, whose sum is σ = 356832448761600. Its totient is φ = 24471156326400.

The previous prime is 100005146966399. The next prime is 100005146966423. The reversal of 100005146966400 is 4669641500001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16483456167 + ... + 16483462233.

It is an arithmetic number, because the mean of its divisors is an integer number (464625584325).

Almost surely, 2^{100005146966400} is an apocalyptic number.

100005146966400 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 100005146966400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178416224380800).

100005146966400 is an abundant number, since it is smaller than the sum of its proper divisors (256827301795200).

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

100005146966400 is a wasteful number, since it uses less digits than its factorization.

100005146966400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6867 (or 6850 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The spelling of 100005146966400 in words is "one hundred trillion, five billion, one hundred forty-six million, nine hundred sixty-six thousand, four hundred".