107057440 has 96 divisors (see below), whose sum is σ = 293981184. Its totient is φ = 36080640.

The previous prime is 107057413. The next prime is 107057441. The reversal of 107057440 is 44750701.

It is a super-2 number, since 2×107057440² = 22922590918707200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 107057399 and 107057408.

It is not an unprimeable number, because it can be changed into a prime (107057441) 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, 67537 + ... + 69103.

It is an arithmetic number, because the mean of its divisors is an integer number (3062304).

Almost surely, 2^107057440 is an apocalyptic number.

107057440 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 107057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146990592).

107057440 is an abundant number, since it is smaller than the sum of its proper divisors (186923744).

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

107057440 is a wasteful number, since it uses less digits than its factorization.

107057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1650 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 28.

The square root of 107057440 is about 10346.8565274677. The cubic root of 107057440 is about 474.8308760786.

It can be divided in two parts, 10705 and 7440, that added together give a triangular number (18145 = T₁₉₀).

The spelling of 107057440 in words is "one hundred seven million, fifty-seven thousand, four hundred forty".