107084640 has 144 divisors (see below), whose sum is σ = 366058224. Its totient is φ = 26158080.

The previous prime is 107084609. The next prime is 107084641. The reversal of 107084640 is 46480701.

It is a super-2 number, since 2×107084640² = 22934240247859200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 107084598 and 107084607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107084641) 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, 817375 + ... + 817505.

It is an arithmetic number, because the mean of its divisors is an integer number (2542071).

Almost surely, 2^107084640 is an apocalyptic number.

107084640 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 107084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183029112).

107084640 is an abundant number, since it is smaller than the sum of its proper divisors (258973584).

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

107084640 is a wasteful number, since it uses less digits than its factorization.

107084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 107084640 is about 10348.1708528609. The cubic root of 107084640 is about 474.8710859765.

The spelling of 107084640 in words is "one hundred seven million, eighty-four thousand, six hundred forty".