104742560 has 96 divisors (see below), whose sum is σ = 273892752. Its totient is φ = 37601280.

The previous prime is 104742557. The next prime is 104742563. The reversal of 104742560 is 65247401.

It is an interprime number because it is at equal distance from previous prime (104742557) and next prime (104742563).

It can be written as a sum of positive squares in 8 ways, for example, as 30162064 + 74580496 = 5492^2 + 8636^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104742563) 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, 76280 + ... + 77640.

Almost surely, 2^104742560 is an apocalyptic number.

104742560 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 104742560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136946376).

104742560 is an abundant number, since it is smaller than the sum of its proper divisors (169150192).

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

104742560 is a wasteful number, since it uses less digits than its factorization.

104742560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 29.

The square root of 104742560 is about 10234.3812709904. The cubic root of 104742560 is about 471.3835195918.

Adding to 104742560 its reverse (65247401), we get a palindrome (169989961).

The spelling of 104742560 in words is "one hundred four million, seven hundred forty-two thousand, five hundred sixty".