100347072 has 112 divisors (see below), whose sum is σ = 305775360. Its totient is φ = 28449792.

The previous prime is 100347017. The next prime is 100347077. The reversal of 100347072 is 270743001.

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 (24).

It is not an unprimeable number, because it can be changed into a prime (100347077) 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, 264579 + ... + 264957.

Almost surely, 2^100347072 is an apocalyptic number.

100347072 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 100347072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152887680).

100347072 is an abundant number, since it is smaller than the sum of its proper divisors (205428288).

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

100347072 is a wasteful number, since it uses less digits than its factorization.

100347072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 588 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 24.

The square root of 100347072 is about 10017.3385687018. The cubic root of 100347072 is about 464.6952518174.

The spelling of 100347072 in words is "one hundred million, three hundred forty-seven thousand, seventy-two".