104013000 has 384 divisors, whose sum is σ = 436101120. Its totient is φ = 21772800.

The previous prime is 104012999. The next prime is 104013037. The reversal of 104013000 is 310401.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 818937 + ... + 819063.

It is an arithmetic number, because the mean of its divisors is an integer number (1135680).

Almost surely, 2^104013000 is an apocalyptic number.

104013000 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 104013000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218050560).

104013000 is an abundant number, since it is smaller than the sum of its proper divisors (332088120).

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

104013000 is a wasteful number, since it uses less digits than its factorization.

104013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 104013000 is about 10198.6763847080. The cubic root of 104013000 is about 470.2865311835.

Adding to 104013000 its reverse (310401), we get a palindrome (104323401).

The spelling of 104013000 in words is "one hundred four million, thirteen thousand".