107825152 has 96 divisors (see below), whose sum is σ = 241768800. Its totient is φ = 47775744.

The previous prime is 107825147. The next prime is 107825213. The reversal of 107825152 is 251528701.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 661423 + ... + 661585.

It is an arithmetic number, because the mean of its divisors is an integer number (2518425).

Almost surely, 2^107825152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107825152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120884400).

107825152 is an abundant number, since it is smaller than the sum of its proper divisors (133943648).

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

107825152 is a wasteful number, since it uses less digits than its factorization.

107825152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The square root of 107825152 is about 10383.8890594998. The cubic root of 107825152 is about 475.9631824264.

The spelling of 107825152 in words is "one hundred seven million, eight hundred twenty-five thousand, one hundred fifty-two".