107319520 has 192 divisors, whose sum is σ = 327462912. Its totient is φ = 32256000.

The previous prime is 107319479. The next prime is 107319533. The reversal of 107319520 is 25913701.

107319520 = T₄₇₅ + T₄₇₆ + ... + T₉₀₈.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381780 + ... + 382060.

It is an arithmetic number, because the mean of its divisors is an integer number (1705536).

Almost surely, 2^107319520 is an apocalyptic number.

107319520 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 107319520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163731456).

107319520 is an abundant number, since it is smaller than the sum of its proper divisors (220143392).

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

107319520 is a wasteful number, since it uses less digits than its factorization.

107319520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 107319520 is about 10359.5135020907. The cubic root of 107319520 is about 475.2180273329.

The spelling of 107319520 in words is "one hundred seven million, three hundred nineteen thousand, five hundred twenty".