107145820 has 36 divisors (see below), whose sum is σ = 227578680. Its totient is φ = 42372544.

The previous prime is 107145811. The next prime is 107145877. The reversal of 107145820 is 28541701.

It is a super-2 number, since 2×107145820² = 22960453486944800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 598491 + ... + 598669.

It is an arithmetic number, because the mean of its divisors is an integer number (6321630).

Almost surely, 2^107145820 is an apocalyptic number.

107145820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107145820 is an abundant number, since it is smaller than the sum of its proper divisors (120432860).

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

107145820 is a wasteful number, since it uses less digits than its factorization.

107145820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 534 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 28.

The square root of 107145820 is about 10351.1265087429. The cubic root of 107145820 is about 474.9615038054.

The spelling of 107145820 in words is "one hundred seven million, one hundred forty-five thousand, eight hundred twenty".