107210520 has 128 divisors (see below), whose sum is σ = 364305600. Its totient is φ = 28035072.

The previous prime is 107210513. The next prime is 107210527. The reversal of 107210520 is 25012701.

It is an interprime number because it is at equal distance from previous prime (107210513) and next prime (107210527).

It is a super-2 number, since 2×107210520² = 22988191197340800, which contains 22 as substring.

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

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 107210493 and 107210502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107210527) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56304 + ... + 58176.

Almost surely, 2^107210520 is an apocalyptic number.

107210520 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 107210520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182152800).

107210520 is an abundant number, since it is smaller than the sum of its proper divisors (257095080).

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

107210520 is a wasteful number, since it uses less digits than its factorization.

107210520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1946 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 107210520 is about 10354.2513007943. The cubic root of 107210520 is about 475.0570863984.

The spelling of 107210520 in words is "one hundred seven million, two hundred ten thousand, five hundred twenty".