100474159296 has 112 divisors (see below), whose sum is σ = 304145533440. Its totient is φ = 28675645440.

The previous prime is 100474159283. The next prime is 100474159297. The reversal of 100474159296 is 692951474001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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 (100474159297) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1208341 + ... + 1288811.

It is an arithmetic number, because the mean of its divisors is an integer number (2715585120).

Almost surely, 2^100474159296 is an apocalyptic number.

100474159296 is a gapful number since it is divisible by the number (16) 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 100474159296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152072766720).

100474159296 is an abundant number, since it is smaller than the sum of its proper divisors (203671374144).

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

100474159296 is an equidigital number, since it uses as much as digits as its factorization.

100474159296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81422 (or 81412 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 100474159296 in words is "one hundred billion, four hundred seventy-four million, one hundred fifty-nine thousand, two hundred ninety-six".