107295048 has 96 divisors (see below), whose sum is σ = 333590400. Its totient is φ = 30518784.

The previous prime is 107295047. The next prime is 107295059. The reversal of 107295048 is 840592701.

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 (107295047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 180640 + ... + 181232.

It is an arithmetic number, because the mean of its divisors is an integer number (3474900).

Almost surely, 2^107295048 is an apocalyptic number.

107295048 is a gapful number since it is divisible by the number (18) 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 107295048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166795200).

107295048 is an abundant number, since it is smaller than the sum of its proper divisors (226295352).

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

107295048 is a wasteful number, since it uses less digits than its factorization.

107295048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 971 (or 964 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 107295048 is about 10358.3322982032. The cubic root of 107295048 is about 475.1819033683.

The spelling of 107295048 in words is "one hundred seven million, two hundred ninety-five thousand, forty-eight".