107373420 has 288 divisors, whose sum is σ = 415973376. Its totient is φ = 21772800.

The previous prime is 107373401. The next prime is 107373433. The reversal of 107373420 is 24373701.

107373420 = 15² + 16² + ... + 685².

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 845397 + ... + 845523.

It is an arithmetic number, because the mean of its divisors is an integer number (1444352).

Almost surely, 2^107373420 is an apocalyptic number.

107373420 is a gapful number since it is divisible by the number (10) 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 107373420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207986688).

107373420 is an abundant number, since it is smaller than the sum of its proper divisors (308599956).

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

107373420 is a wasteful number, since it uses less digits than its factorization.

107373420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 107373420 is about 10362.1146490473. The cubic root of 107373420 is about 475.2975716218.

The spelling of 107373420 in words is "one hundred seven million, three hundred seventy-three thousand, four hundred twenty".