107020440 has 320 divisors, whose sum is σ = 399880800. Its totient is φ = 25546752.

The previous prime is 107020439. The next prime is 107020471. The reversal of 107020440 is 44020701.

It is a happy number.

It is a super-2 number, since 2×107020440² = 22906749155587200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1597287 + ... + 1597353.

Almost surely, 2^107020440 is an apocalyptic number.

107020440 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 107020440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199940400).

107020440 is an abundant number, since it is smaller than the sum of its proper divisors (292860360).

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

107020440 is a wasteful number, since it uses less digits than its factorization.

107020440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 107020440 is about 10345.0683903008. The cubic root of 107020440 is about 474.7761678560.

The spelling of 107020440 in words is "one hundred seven million, twenty thousand, four hundred forty".