107220432 has 80 divisors (see below), whose sum is σ = 307212480. Its totient is φ = 31948800.

The previous prime is 107220427. The next prime is 107220433. The reversal of 107220432 is 234022701.

It is a super-2 number, since 2×107220432² = 22992442076533248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107220399 and 107220408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107220433) 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 15 ways as a sum of consecutive naturals, for example, 30544 + ... + 33872.

It is an arithmetic number, because the mean of its divisors is an integer number (3840156).

Almost surely, 2^107220432 is an apocalyptic number.

107220432 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 107220432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153606240).

107220432 is an abundant number, since it is smaller than the sum of its proper divisors (199992048).

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

107220432 is a wasteful number, since it uses less digits than its factorization.

107220432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 107220432 is about 10354.7299337066. The cubic root of 107220432 is about 475.0717261954.

The spelling of 107220432 in words is "one hundred seven million, two hundred twenty thousand, four hundred thirty-two".