104966472 has 64 divisors (see below), whose sum is σ = 285485760. Its totient is φ = 31968000.

The previous prime is 104966467. The next prime is 104966479. The reversal of 104966472 is 274669401.

It is a happy number.

It is a super-2 number, since 2×104966472² = 22035920488253568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 104966472.

It is not an unprimeable number, because it can be changed into a prime (104966479) 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, 29847 + ... + 33177.

It is an arithmetic number, because the mean of its divisors is an integer number (4460715).

Almost surely, 2^104966472 is an apocalyptic number.

104966472 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 104966472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142742880).

104966472 is an abundant number, since it is smaller than the sum of its proper divisors (180519288).

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

104966472 is a wasteful number, since it uses less digits than its factorization.

104966472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3454 (or 3450 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 104966472 is about 10245.3146364570. The cubic root of 104966472 is about 471.7191784499.

The spelling of 104966472 in words is "one hundred four million, nine hundred sixty-six thousand, four hundred seventy-two".