100759265472 has 112 divisors (see below), whose sum is σ = 283003325280. Its totient is φ = 31529091072.

The previous prime is 100759265471. The next prime is 100759265483. The reversal of 100759265472 is 274562957001.

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

It is not an unprimeable number, because it can be changed into a prime (100759265471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1230018 + ... + 1309374.

Almost surely, 2^100759265472 is an apocalyptic number.

100759265472 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 100759265472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141501662640).

100759265472 is an abundant number, since it is smaller than the sum of its proper divisors (182244059808).

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

100759265472 is a wasteful number, since it uses less digits than its factorization.

100759265472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79778 (or 79768 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 100759265472 in words is "one hundred billion, seven hundred fifty-nine million, two hundred sixty-five thousand, four hundred seventy-two".