100364367280 has 160 divisors (see below), whose sum is σ = 249059059200. Its totient is φ = 37504051200.

The previous prime is 100364367269. The next prime is 100364367281. The reversal of 100364367280 is 82763463001.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (100364367281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66421725 + ... + 66423235.

It is an arithmetic number, because the mean of its divisors is an integer number (1556619120).

Almost surely, 2^100364367280 is an apocalyptic number.

100364367280 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 100364367280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124529529600).

100364367280 is an abundant number, since it is smaller than the sum of its proper divisors (148694691920).

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

100364367280 is a wasteful number, since it uses less digits than its factorization.

100364367280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2117 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 100364367280 in words is "one hundred billion, three hundred sixty-four million, three hundred sixty-seven thousand, two hundred eighty".