107490240 has 560 divisors, whose sum is σ = 464698080. Its totient is φ = 23224320.

The previous prime is 107490223. The next prime is 107490281. The reversal of 107490240 is 42094701.

It is a happy number.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 870 × 858 × 144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3706546 + ... + 3706574.

It is an arithmetic number, because the mean of its divisors is an integer number (829818).

Almost surely, 2^107490240 is an apocalyptic number.

107490240 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 107490240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232349040).

107490240 is an abundant number, since it is smaller than the sum of its proper divisors (357207840).

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

107490240 is a wasteful number, since it uses less digits than its factorization.

107490240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 63 counting only the distinct ones).

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

The square root of 107490240 is about 10367.7499969858. The cubic root of 107490240 is about 475.4698803678.

The spelling of 107490240 in words is "one hundred seven million, four hundred ninety thousand, two hundred forty".