104988240 has 240 divisors, whose sum is σ = 414580608. Its totient is φ = 23307264.

The previous prime is 104988239. The next prime is 104988253. The reversal of 104988240 is 42889401.

104988240 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×104988240² = 22045061076595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 104988195 and 104988204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 186199 + ... + 186761.

Almost surely, 2^104988240 is an apocalyptic number.

104988240 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 104988240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207290304).

104988240 is an abundant number, since it is smaller than the sum of its proper divisors (309592368).

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

104988240 is a wasteful number, since it uses less digits than its factorization.

104988240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 104988240 is about 10246.3769206486. The cubic root of 104988240 is about 471.7517846499.

The spelling of 104988240 in words is "one hundred four million, nine hundred eighty-eight thousand, two hundred forty".