104891600 has 120 divisors (see below), whose sum is σ = 284148480. Its totient is φ = 36864000.

The previous prime is 104891593. The next prime is 104891623. The reversal of 104891600 is 6198401.

It is a super-2 number, since 2×104891600² = 22004495501120000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136016 + ... + 136784.

It is an arithmetic number, because the mean of its divisors is an integer number (2367904).

Almost surely, 2^104891600 is an apocalyptic number.

104891600 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 104891600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142074240).

104891600 is an abundant number, since it is smaller than the sum of its proper divisors (179256880).

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

104891600 is a wasteful number, since it uses less digits than its factorization.

104891600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 104891600 is about 10241.6600216957. The cubic root of 104891600 is about 471.6069935509.

The spelling of 104891600 in words is "one hundred four million, eight hundred ninety-one thousand, six hundred".