107144676 has 72 divisors (see below), whose sum is σ = 296707320. Its totient is φ = 32449536.

The previous prime is 107144671. The next prime is 107144689. The reversal of 107144676 is 676441701.

It can be written as a sum of positive squares in 4 ways, for example, as 15444900 + 91699776 = 3930^2 + 9576^2 .

It is a super-2 number, since 2×107144676² = 22959963190289952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 107144676.

It is not an unprimeable number, because it can be changed into a prime (107144671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14730 + ... + 20766.

It is an arithmetic number, because the mean of its divisors is an integer number (4120935).

Almost surely, 2^107144676 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107144676, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148353660).

107144676 is an abundant number, since it is smaller than the sum of its proper divisors (189562644).

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

107144676 is a wasteful number, since it uses less digits than its factorization.

107144676 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6093 (or 6088 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 107144676 is about 10351.0712489095. The cubic root of 107144676 is about 474.9598134053.

The spelling of 107144676 in words is "one hundred seven million, one hundred forty-four thousand, six hundred seventy-six".