104941800 has 144 divisors (see below), whose sum is σ = 355518540. Its totient is φ = 27740160.

The previous prime is 104941747. The next prime is 104941813. The reversal of 104941800 is 8149401.

It can be written as a sum of positive squares in 6 ways, for example, as 50211396 + 54730404 = 7086^2 + 7398^2 .

It is a super-2 number, since 2×104941800² = 22025562774480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311232 + ... + 311568.

Almost surely, 2^104941800 is an apocalyptic number.

104941800 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 104941800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177759270).

104941800 is an abundant number, since it is smaller than the sum of its proper divisors (250576740).

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

104941800 is a wasteful number, since it uses less digits than its factorization.

104941800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 520 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 104941800 is about 10244.1105031135. The cubic root of 104941800 is about 471.6822169093.

It can be divided in two parts, 1049 and 41800, that added together give a square (42849 = 207²).

The spelling of 104941800 in words is "one hundred four million, nine hundred forty-one thousand, eight hundred".