107185152 has 176 divisors, whose sum is σ = 313633152. Its totient is φ = 32440320.

The previous prime is 107185093. The next prime is 107185157. The reversal of 107185152 is 251581701.

It is a super-2 number, since 2×107185152² = 22977313618526208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (107185157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2614252 + ... + 2614292.

Almost surely, 2^107185152 is an apocalyptic number.

107185152 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 107185152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156816576).

107185152 is an abundant number, since it is smaller than the sum of its proper divisors (206448000).

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

107185152 is a wasteful number, since it uses less digits than its factorization.

107185152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 30.

The square root of 107185152 is about 10353.0262242496. The cubic root of 107185152 is about 475.0196143332.

The spelling of 107185152 in words is "one hundred seven million, one hundred eighty-five thousand, one hundred fifty-two".