104889460 has 48 divisors (see below), whose sum is σ = 237963600. Its totient is φ = 38605824.

The previous prime is 104889457. The next prime is 104889469. The reversal of 104889460 is 64988401.

It can be written as a sum of positive squares in 8 ways, for example, as 38987536 + 65901924 = 6244^2 + 8118^2 .

It is a super-2 number, since 2×104889460² = 22003597638183200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104889469) 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, 147586 + ... + 148294.

It is an arithmetic number, because the mean of its divisors is an integer number (4957575).

Almost surely, 2^104889460 is an apocalyptic number.

104889460 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 104889460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118981800).

104889460 is an abundant number, since it is smaller than the sum of its proper divisors (133074140).

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

104889460 is a wasteful number, since it uses less digits than its factorization.

104889460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1300 (or 1298 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 104889460 is about 10241.5555459120. Note that the first 4 decimals coincide. The cubic root of 104889460 is about 471.6037862848.

The spelling of 104889460 in words is "one hundred four million, eight hundred eighty-nine thousand, four hundred sixty".