100345265445360 has 160 divisors (see below), whose sum is σ = 335038556160000. Its totient is φ = 24697442386944.

The previous prime is 100345265445329. The next prime is 100345265445389. The reversal of 100345265445360 is 63544562543001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24450891 + ... + 28258389.

It is an arithmetic number, because the mean of its divisors is an integer number (2093990976000).

Almost surely, 2^{100345265445360} is an apocalyptic number.

100345265445360 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 100345265445360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167519278080000).

100345265445360 is an abundant number, since it is smaller than the sum of its proper divisors (234693290714640).

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

100345265445360 is a wasteful number, since it uses less digits than its factorization.

100345265445360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815975 (or 3815969 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 100345265445360 in words is "one hundred trillion, three hundred forty-five billion, two hundred sixty-five million, four hundred forty-five thousand, three hundred sixty".