100149849595392 has 160 divisors (see below), whose sum is σ = 272952342432000. Its totient is φ = 32620948144128.

The previous prime is 100149849595381. The next prime is 100149849595429. The reversal of 100149849595392 is 293595948941001.

It is a super-2 number, since 2×100149849595392² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11825484 + ... + 18442932.

It is an arithmetic number, because the mean of its divisors is an integer number (1705952140200).

Almost surely, 2^{100149849595392} is an apocalyptic number.

100149849595392 is a gapful number since it is divisible by the number (12) 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 100149849595392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136476171216000).

100149849595392 is an abundant number, since it is smaller than the sum of its proper divisors (172802492836608).

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

100149849595392 is an equidigital number, since it uses as much as digits as its factorization.

100149849595392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6617696 (or 6617680 counting only the distinct ones).

The product of its (nonzero) digits is 125971200, while the sum is 69.

The spelling of 100149849595392 in words is "one hundred trillion, one hundred forty-nine billion, eight hundred forty-nine million, five hundred ninety-five thousand, three hundred ninety-two".