100952801280 has 320 divisors, whose sum is σ = 361976543280. Its totient is φ = 26917208064.

The previous prime is 100952801239. The next prime is 100952801303. The reversal of 100952801280 is 82108259001.

100952801280 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 528 + 0 + 128 + 0 = 666.

100952801280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13267237 + ... + 13274843.

Almost surely, 2^100952801280 is an apocalyptic number.

100952801280 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 100952801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180988271640).

100952801280 is an abundant number, since it is smaller than the sum of its proper divisors (261023742000).

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

100952801280 is an frugal number, since it uses more digits than its factorization.

100952801280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7654 (or 7617 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 100952801280 in words is "one hundred billion, nine hundred fifty-two million, eight hundred one thousand, two hundred eighty".