107545152 has 112 divisors (see below), whose sum is σ = 334377792. Its totient is φ = 30074880.

The previous prime is 107545147. The next prime is 107545159. The reversal of 107545152 is 251545701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107545159) 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, 25498 + ... + 29414.

It is an arithmetic number, because the mean of its divisors is an integer number (2985516).

Almost surely, 2^107545152 is an apocalyptic number.

107545152 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 107545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167188896).

107545152 is an abundant number, since it is smaller than the sum of its proper divisors (226832640).

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

107545152 is a wasteful number, since it uses less digits than its factorization.

107545152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3956 (or 3946 counting only the distinct ones).

The product of its (nonzero) digits is 7000, while the sum is 30.

The square root of 107545152 is about 10370.3978708630. The cubic root of 107545152 is about 475.5508320814.

The spelling of 107545152 in words is "one hundred seven million, five hundred forty-five thousand, one hundred fifty-two".