104901888 has 288 divisors, whose sum is σ = 366284800. Its totient is φ = 25878528.

The previous prime is 104901887. The next prime is 104901889. The reversal of 104901888 is 888109401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (104901887) and next prime (104901889).

It is a super-2 number, since 2×104901888² = 22008812211929088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104901887) 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, 1327833 + ... + 1327911.

Almost surely, 2^104901888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104901888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183142400).

104901888 is an abundant number, since it is smaller than the sum of its proper divisors (261382912).

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

104901888 is a wasteful number, since it uses less digits than its factorization.

104901888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 104901888 is about 10242.1622717081. The cubic root of 104901888 is about 471.6224117990.

The spelling of 104901888 in words is "one hundred four million, nine hundred one thousand, eight hundred eighty-eight".