104920900 has 72 divisors (see below), whose sum is σ = 267302336. Its totient is φ = 34992000.

The previous prime is 104920891. The next prime is 104920901. The reversal of 104920900 is 9029401.

It is a super-2 number, since 2×104920900² = 22016790513620000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (104920901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23875 + ... + 27925.

Almost surely, 2^104920900 is an apocalyptic number.

104920900 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 104920900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133651168).

104920900 is an abundant number, since it is smaller than the sum of its proper divisors (162381436).

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

104920900 is a wasteful number, since it uses less digits than its factorization.

104920900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4109 (or 4102 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 25.

The square root of 104920900 is about 10243.0903539899. The cubic root of 104920900 is about 471.6509017332.

The spelling of 104920900 in words is "one hundred four million, nine hundred twenty thousand, nine hundred".