107069376 has 56 divisors (see below), whose sum is σ = 286258000. Its totient is φ = 35315712.

The previous prime is 107069359. The next prime is 107069377. The reversal of 107069376 is 673960701.

It is a super-2 number, since 2×107069376² = 22927702554058752, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107069377) 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, 15750 + ... + 21498.

It is an arithmetic number, because the mean of its divisors is an integer number (5111750).

Almost surely, 2^107069376 is an apocalyptic number.

107069376 is a gapful number since it is divisible by the number (16) 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 107069376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143129000).

107069376 is an abundant number, since it is smaller than the sum of its proper divisors (179188624).

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

107069376 is an equidigital number, since it uses as much as digits as its factorization.

107069376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5861 (or 5851 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 39.

The square root of 107069376 is about 10347.4333049312. The cubic root of 107069376 is about 474.8485219664.

The spelling of 107069376 in words is "one hundred seven million, sixty-nine thousand, three hundred seventy-six".