104970240 has 288 divisors, whose sum is σ = 390957840. Its totient is φ = 25952256.

The previous prime is 104970233. The next prime is 104970251. The reversal of 104970240 is 42079401.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×104970240² = 22037502571315200, 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, 1566687 + ... + 1566753.

Almost surely, 2^104970240 is an apocalyptic number.

104970240 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 104970240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195478920).

104970240 is an abundant number, since it is smaller than the sum of its proper divisors (285987600).

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

104970240 is a wasteful number, since it uses less digits than its factorization.

104970240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 104970240 is about 10245.4985237420. The cubic root of 104970240 is about 471.7248228446.

It can be divided in two parts, 1049 and 70240, that added together give a square (71289 = 267²).

The spelling of 104970240 in words is "one hundred four million, nine hundred seventy thousand, two hundred forty".