107202640 has 20 divisors (see below), whose sum is σ = 249246324. Its totient is φ = 42881024.

The previous prime is 107202631. The next prime is 107202643. The reversal of 107202640 is 46202701.

It can be written as a sum of positive squares in 2 ways, for example, as 43138624 + 64064016 = 6568^2 + 8004^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×107202640² = 22984812045939200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107202643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 669937 + ... + 670096.

Almost surely, 2^107202640 is an apocalyptic number.

107202640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107202640 is an abundant number, since it is smaller than the sum of its proper divisors (142043684).

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

107202640 is a wasteful number, since it uses less digits than its factorization.

107202640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340046 (or 1340040 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 107202640 is about 10353.8707737734. The cubic root of 107202640 is about 475.0454471751.

The spelling of 107202640 in words is "one hundred seven million, two hundred two thousand, six hundred forty".