107178640 has 40 divisors (see below), whose sum is σ = 255932280. Its totient is φ = 41711616.

The previous prime is 107178637. The next prime is 107178649. The reversal of 107178640 is 46871701.

It can be written as a sum of positive squares in 4 ways, for example, as 14017536 + 93161104 = 3744^2 + 9652^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×107178640² = 22974521744499200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107178596 and 107178605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107178649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15145 + ... + 21064.

It is an arithmetic number, because the mean of its divisors is an integer number (6398307).

Almost surely, 2^107178640 is an apocalyptic number.

107178640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107178640 is an abundant number, since it is smaller than the sum of its proper divisors (148753640).

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

107178640 is a wasteful number, since it uses less digits than its factorization.

107178640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36259 (or 36253 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 34.

The square root of 107178640 is about 10352.7117220562. The cubic root of 107178640 is about 475.0099942495.

The spelling of 107178640 in words is "one hundred seven million, one hundred seventy-eight thousand, six hundred forty".