107190440 has 96 divisors (see below), whose sum is σ = 297150120. Its totient is φ = 34578432.

The previous prime is 107190437. The next prime is 107190493. The reversal of 107190440 is 44091701.

It can be written as a sum of positive squares in 4 ways, for example, as 106461124 + 729316 = 10318^2 + 854^2 .

It is a super-2 number, since 2×107190440² = 22979580854787200, which contains 22 as substring.

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, 31712 + ... + 34928.

Almost surely, 2^107190440 is an apocalyptic number.

107190440 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 107190440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148575060).

107190440 is an abundant number, since it is smaller than the sum of its proper divisors (189959680).

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

107190440 is a wasteful number, since it uses less digits than its factorization.

107190440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 107190440 is about 10353.2816053655. The cubic root of 107190440 is about 475.0274259326.

The spelling of 107190440 in words is "one hundred seven million, one hundred ninety thousand, four hundred forty".