104987400 has 144 divisors (see below), whose sum is σ = 378703440. Its totient is φ = 23990400.

The previous prime is 104987371. The next prime is 104987401. The reversal of 104987400 is 4789401.

It is a super-2 number, since 2×104987400² = 22044708317520000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (104987401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 27615 + ... + 31185.

It is an arithmetic number, because the mean of its divisors is an integer number (2629885).

Almost surely, 2^104987400 is an apocalyptic number.

104987400 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 104987400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189351720).

104987400 is an abundant number, since it is smaller than the sum of its proper divisors (273716040).

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

104987400 is a wasteful number, since it uses less digits than its factorization.

104987400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 104987400 is about 10246.3359304680. The cubic root of 104987400 is about 471.7505265009.

The spelling of 104987400 in words is "one hundred four million, nine hundred eighty-seven thousand, four hundred".