107950752 has 192 divisors, whose sum is σ = 387797760. Its totient is φ = 28449792.

The previous prime is 107950751. The next prime is 107950757. The reversal of 107950752 is 257059701.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (107950751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77938 + ... + 79310.

It is an arithmetic number, because the mean of its divisors is an integer number (2019780).

Almost surely, 2^107950752 is an apocalyptic number.

107950752 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 107950752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193898880).

107950752 is an abundant number, since it is smaller than the sum of its proper divisors (279847008).

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

107950752 is a wasteful number, since it uses less digits than its factorization.

107950752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1412 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The square root of 107950752 is about 10389.9351297301. The cubic root of 107950752 is about 476.1479190971.

The spelling of 107950752 in words is "one hundred seven million, nine hundred fifty thousand, seven hundred fifty-two".