107140544 has 112 divisors (see below), whose sum is σ = 262859520. Its totient is φ = 42301440.

The previous prime is 107140513. The next prime is 107140559. The reversal of 107140544 is 445041701.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×107140544² = 22958192337231872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348839 + ... + 349145.

It is an arithmetic number, because the mean of its divisors is an integer number (2346960).

Almost surely, 2^107140544 is an apocalyptic number.

107140544 is a gapful number since it is divisible by the number (14) 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 107140544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131429760).

107140544 is an abundant number, since it is smaller than the sum of its proper divisors (155718976).

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

107140544 is a wasteful number, since it uses less digits than its factorization.

107140544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 107140544 is about 10350.8716541169. The cubic root of 107140544 is about 474.9537077693.

The spelling of 107140544 in words is "one hundred seven million, one hundred forty thousand, five hundred forty-four".