104632000 has 224 divisors, whose sum is σ = 299557440. Its totient is φ = 35840000.

The previous prime is 104631973. The next prime is 104632001. The reversal of 104632000 is 236401.

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

It is not an unprimeable number, because it can be changed into a prime (104632001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2551980 + ... + 2552020.

It is an arithmetic number, because the mean of its divisors is an integer number (1337310).

Almost surely, 2^104632000 is an apocalyptic number.

104632000 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 104632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149778720).

104632000 is an abundant number, since it is smaller than the sum of its proper divisors (194925440).

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

104632000 is a wasteful number, since it uses less digits than its factorization.

104632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 104632000 is about 10228.9784436179. The cubic root of 104632000 is about 471.2176064246.

Adding to 104632000 its reverse (236401), we get a palindrome (104868401).

The spelling of 104632000 in words is "one hundred four million, six hundred thirty-two thousand".