107514540 has 240 divisors, whose sum is σ = 406560000. Its totient is φ = 23234688.

The previous prime is 107514529. The next prime is 107514551. The reversal of 107514540 is 45415701.

It is a happy number.

107514540 is a `hidden beast` number, since 107 + 5 + 14 + 540 = 666.

It is an interprime number because it is at equal distance from previous prime (107514529) and next prime (107514551).

It is a super-2 number, since 2×107514540² = 23118752622823200, which contains 22 as substring.

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

It is a plaindrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 215211 + ... + 215709.

It is an arithmetic number, because the mean of its divisors is an integer number (1694000).

Almost surely, 2^107514540 is an apocalyptic number.

107514540 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 107514540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203280000).

107514540 is an abundant number, since it is smaller than the sum of its proper divisors (299045460).

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

107514540 is a wasteful number, since it uses less digits than its factorization.

107514540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 107514540 is about 10368.9218340192. The cubic root of 107514540 is about 475.5057070238.

The spelling of 107514540 in words is "one hundred seven million, five hundred fourteen thousand, five hundred forty".