107797872 has 320 divisors, whose sum is σ = 379975680. Its totient is φ = 25546752.

The previous prime is 107797871. The next prime is 107797873. The reversal of 107797872 is 278797701.

It is an interprime number because it is at equal distance from previous prime (107797871) and next prime (107797873).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107797871) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2913438 + ... + 2913474.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 2^107797872 is an apocalyptic number.

107797872 is a gapful number since it is divisible by the number (12) 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 107797872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189987840).

107797872 is an abundant number, since it is smaller than the sum of its proper divisors (272177808).

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

107797872 is a wasteful number, since it uses less digits than its factorization.

107797872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 345744, while the sum is 48.

The square root of 107797872 is about 10382.5754030491. The cubic root of 107797872 is about 475.9230391310.

The spelling of 107797872 in words is "one hundred seven million, seven hundred ninety-seven thousand, eight hundred seventy-two".