105220620 has 60 divisors (see below), whose sum is σ = 330086064. Its totient is φ = 28058400.

The previous prime is 105220589. The next prime is 105220627. The reversal of 105220620 is 26022501.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×105220620² = 22142757746368800, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 105220593 and 105220602.

It is not an unprimeable number, because it can be changed into a prime (105220627) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 30856 + ... + 34095.

Almost surely, 2^105220620 is an apocalyptic number.

105220620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105220620 is an abundant number, since it is smaller than the sum of its proper divisors (224865444).

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

105220620 is a wasteful number, since it uses less digits than its factorization.

105220620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64972 (or 64961 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 105220620 is about 10257.7102708158. The cubic root of 105220620 is about 472.0995851830.

The spelling of 105220620 in words is "one hundred five million, two hundred twenty thousand, six hundred twenty".