107787372 has 192 divisors, whose sum is σ = 334430208. Its totient is φ = 26208000.

The previous prime is 107787371. The next prime is 107787373. The reversal of 107787372 is 273787701.

It is an interprime number because it is at equal distance from previous prime (107787371) and next prime (107787373).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (107787371) 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, 1518097 + ... + 1518167.

It is an arithmetic number, because the mean of its divisors is an integer number (1741824).

Almost surely, 2^107787372 is an apocalyptic number.

107787372 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 107787372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167215104).

107787372 is an abundant number, since it is smaller than the sum of its proper divisors (226642836).

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

107787372 is a wasteful number, since it uses less digits than its factorization.

107787372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 115248, while the sum is 42.

The square root of 107787372 is about 10382.0697358475. The cubic root of 107787372 is about 475.9075862775.

The spelling of 107787372 in words is "one hundred seven million, seven hundred eighty-seven thousand, three hundred seventy-two".