100965281280 has 160 divisors (see below), whose sum is σ = 322959463200. Its totient is φ = 26908557312.

The previous prime is 100965281279. The next prime is 100965281293. The reversal of 100965281280 is 82182569001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-4 number, since 4×100965281280⁴ (a number of 45 digits) contains 4444 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, 20649076 + ... + 20653964.

It is an arithmetic number, because the mean of its divisors is an integer number (2018496645).

Almost surely, 2^100965281280 is an apocalyptic number.

100965281280 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 100965281280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161479731600).

100965281280 is an abundant number, since it is smaller than the sum of its proper divisors (221994181920).

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

100965281280 is an equidigital number, since it uses as much as digits as its factorization.

100965281280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7604 (or 7588 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 42.

The spelling of 100965281280 in words is "one hundred billion, nine hundred sixty-five million, two hundred eighty-one thousand, two hundred eighty".