107093840 has 120 divisors (see below), whose sum is σ = 295516800. Its totient is φ = 35354880.

The previous prime is 107093807. The next prime is 107093849. The reversal of 107093840 is 48390701.

It is a super-2 number, since 2×107093840² = 22938181131891200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107093797 and 107093806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107093849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538061 + ... + 538259.

It is an arithmetic number, because the mean of its divisors is an integer number (2462640).

Almost surely, 2^107093840 is an apocalyptic number.

107093840 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 107093840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147758400).

107093840 is an abundant number, since it is smaller than the sum of its proper divisors (188422960).

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

107093840 is a wasteful number, since it uses less digits than its factorization.

107093840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 107093840 is about 10348.6153663183. The cubic root of 107093840 is about 474.8846848421.

The spelling of 107093840 in words is "one hundred seven million, ninety-three thousand, eight hundred forty".