107398032 has 80 divisors (see below), whose sum is σ = 333788160. Its totient is φ = 29068416.

The previous prime is 107398021. The next prime is 107398037. The reversal of 107398032 is 230893701.

It is a junction number, because it is equal to n+sod(n) for n = 107397984 and 107398002.

It is not an unprimeable number, because it can be changed into a prime (107398037) 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, 2028 + ... + 14795.

It is an arithmetic number, because the mean of its divisors is an integer number (4172352).

Almost surely, 2^107398032 is an apocalyptic number.

107398032 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 107398032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166894080).

107398032 is an abundant number, since it is smaller than the sum of its proper divisors (226390128).

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

107398032 is a wasteful number, since it uses less digits than its factorization.

107398032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16860 (or 16854 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 107398032 is about 10363.3021764301. The cubic root of 107398032 is about 475.3338845508. Note that the first 3 decimals are identical.

The spelling of 107398032 in words is "one hundred seven million, three hundred ninety-eight thousand, thirty-two".