104970432 has 112 divisors (see below), whose sum is σ = 321576192. Its totient is φ = 29598720.

The previous prime is 104970409. The next prime is 104970449. The reversal of 104970432 is 234079401.

It is a happy number.

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

It is a super-3 number, since 3×104970432³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 104970432.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111082 + ... + 112022.

It is an arithmetic number, because the mean of its divisors is an integer number (2871216).

Almost surely, 2^104970432 is an apocalyptic number.

104970432 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 104970432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160788096).

104970432 is an abundant number, since it is smaller than the sum of its proper divisors (216605760).

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

104970432 is an equidigital number, since it uses as much as digits as its factorization.

104970432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1046 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 104970432 is about 10245.5078937064. The cubic root of 104970432 is about 471.7251104534.

The spelling of 104970432 in words is "one hundred four million, nine hundred seventy thousand, four hundred thirty-two".