107194032 has 240 divisors, whose sum is σ = 352834560. Its totient is φ = 30067200.

The previous prime is 107193997. The next prime is 107194033. The reversal of 107194032 is 230491701.

It is a super-2 number, since 2×107194032² = 22981120992834048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107193987 and 107194005.

It is not an unprimeable number, because it can be changed into a prime (107194033) 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 47 ways as a sum of consecutive naturals, for example, 1816819 + ... + 1816877.

It is an arithmetic number, because the mean of its divisors is an integer number (1470144).

Almost surely, 2^107194032 is an apocalyptic number.

107194032 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 107194032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176417280).

107194032 is an abundant number, since it is smaller than the sum of its proper divisors (245640528).

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

107194032 is a wasteful number, since it uses less digits than its factorization.

107194032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 107194032 is about 10353.4550754808. The cubic root of 107194032 is about 475.0327320011.

The spelling of 107194032 in words is "one hundred seven million, one hundred ninety-four thousand, thirty-two".