104914560 has 128 divisors (see below), whose sum is σ = 341055360. Its totient is φ = 27422720.

The previous prime is 104914553. The next prime is 104914619. The reversal of 104914560 is 65419401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×104914560² = 22014129799987200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 101245 + ... + 102275.

It is an arithmetic number, because the mean of its divisors is an integer number (2664495).

Almost surely, 2^104914560 is an apocalyptic number.

104914560 is a gapful number since it is divisible by the number (10) 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 104914560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170527680).

104914560 is an abundant number, since it is smaller than the sum of its proper divisors (236140800).

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

104914560 is a wasteful number, since it uses less digits than its factorization.

104914560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1106 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 104914560 is about 10242.7808723998. The cubic root of 104914560 is about 471.6414014749.

It can be divided in two parts, 10491 and 4560, that added together give a palindrome (15051).

The spelling of 104914560 in words is "one hundred four million, nine hundred fourteen thousand, five hundred sixty".