109595640 has 256 divisors, whose sum is σ = 425088000. Its totient is φ = 21934080.

The previous prime is 109595639. The next prime is 109595641. The reversal of 109595640 is 46595901.

109595640 = T₂₄₈₅ + T₂₄₈₆ + ... + T₂₅₁₉.

It is an interprime number because it is at equal distance from previous prime (109595639) and next prime (109595641).

It is a super-2 number, since 2×109595640² = 24022408614019200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109595641) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 267756 + ... + 268164.

It is an arithmetic number, because the mean of its divisors is an integer number (1660500).

Almost surely, 2^109595640 is an apocalyptic number.

109595640 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 109595640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212544000).

109595640 is an abundant number, since it is smaller than the sum of its proper divisors (315492360).

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

109595640 is a wasteful number, since it uses less digits than its factorization.

109595640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 39.

The square root of 109595640 is about 10468.7936267748. The cubic root of 109595640 is about 478.5541561832.

The spelling of 109595640 in words is "one hundred nine million, five hundred ninety-five thousand, six hundred forty".