10505620 has 24 divisors (see below), whose sum is σ = 22226400. Its totient is φ = 4170912.

The previous prime is 10505617. The next prime is 10505623. The reversal of 10505620 is 2650501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10505617) and next prime (10505623).

It is a super-2 number, since 2×10505620² = 220736103168800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 891 + ... + 4669.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 2^10505620 is an apocalyptic number.

10505620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10505620 is an abundant number, since it is smaller than the sum of its proper divisors (11720780).

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

10505620 is a wasteful number, since it uses less digits than its factorization.

10505620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3927 (or 3925 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 10505620 is about 3241.2374180242. The cubic root of 10505620 is about 219.0150181176.

It can be divided in two parts, 1050 and 5620, that added together give a triangular number (6670 = T₁₁₅).

The spelling of 10505620 in words is "ten million, five hundred five thousand, six hundred twenty".