107129344 has 80 divisors (see below), whose sum is σ = 248662656. Its totient is φ = 45158400.

The previous prime is 107129339. The next prime is 107129357. The reversal of 107129344 is 443921701.

It is a super-2 number, since 2×107129344² = 22953392691740672, 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 7 ways as a sum of consecutive naturals, for example, 254254 + ... + 254674.

Almost surely, 2^107129344 is an apocalyptic number.

107129344 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 107129344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124331328).

107129344 is an abundant number, since it is smaller than the sum of its proper divisors (141533312).

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

107129344 is an frugal number, since it uses more digits than its factorization.

107129344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 517 (or 501 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 107129344 is about 10350.3306227386. The cubic root of 107129344 is about 474.9371573372.

The spelling of 107129344 in words is "one hundred seven million, one hundred twenty-nine thousand, three hundred forty-four".