107638340 has 12 divisors (see below), whose sum is σ = 226040556. Its totient is φ = 43055328.

The previous prime is 107638277. The next prime is 107638357. The reversal of 107638340 is 43836701.

It can be written as a sum of positive squares in 2 ways, for example, as 62694724 + 44943616 = 7918^2 + 6704^2 .

It is a super-3 number, since 3×107638340³ (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107638297 and 107638306.

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 3 ways as a sum of consecutive naturals, for example, 2690939 + ... + 2690978.

It is an arithmetic number, because the mean of its divisors is an integer number (18836713).

Almost surely, 2^107638340 is an apocalyptic number.

107638340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107638340 is an abundant number, since it is smaller than the sum of its proper divisors (118402216).

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

107638340 is a wasteful number, since it uses less digits than its factorization.

107638340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381926 (or 5381924 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 107638340 is about 10374.8898789337. The cubic root of 107638340 is about 475.6881475451.

The spelling of 107638340 in words is "one hundred seven million, six hundred thirty-eight thousand, three hundred forty".