104610400 has 72 divisors (see below), whose sum is σ = 261405144. Its totient is φ = 40857600.

The previous prime is 104610397. The next prime is 104610403. The reversal of 104610400 is 4016401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104610397) and next prime (104610403).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104610403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32880 + ... + 35920.

It is an arithmetic number, because the mean of its divisors is an integer number (3630627).

Almost surely, 2^104610400 is an apocalyptic number.

104610400 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 104610400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130702572).

104610400 is an abundant number, since it is smaller than the sum of its proper divisors (156794744).

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

104610400 is a wasteful number, since it uses less digits than its factorization.

104610400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3091 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 104610400 is about 10227.9225652133. The cubic root of 104610400 is about 471.1851784842.

Adding to 104610400 its reverse (4016401), we get a palindrome (108626801).

The spelling of 104610400 in words is "one hundred four million, six hundred ten thousand, four hundred".