104930560 has 144 divisors (see below), whose sum is σ = 294336000. Its totient is φ = 35825664.

The previous prime is 104930543. The next prime is 104930563. The reversal of 104930560 is 65039401.

It is a super-2 number, since 2×104930560² = 22020844843827200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104930563) 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, 438921 + ... + 439159.

It is an arithmetic number, because the mean of its divisors is an integer number (2044000).

Almost surely, 2^104930560 is an apocalyptic number.

104930560 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 104930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147168000).

104930560 is an abundant number, since it is smaller than the sum of its proper divisors (189405440).

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

104930560 is an frugal number, since it uses more digits than its factorization.

104930560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 104930560 is about 10243.5618805179. The cubic root of 104930560 is about 471.6653761544.

Adding to 104930560 its reverse (65039401), we get a palindrome (169969961).

The spelling of 104930560 in words is "one hundred four million, nine hundred thirty thousand, five hundred sixty".