10510920 has 192 divisors, whose sum is σ = 40360320. Its totient is φ = 2322432.

The previous prime is 10510919. The next prime is 10510937. The reversal of 10510920 is 2901501.

It is a super-2 number, since 2×10510920² = 220958878492800, which contains 22 as substring.

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

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 10510893 and 10510902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108312 + ... + 108408.

It is an arithmetic number, because the mean of its divisors is an integer number (210210).

Almost surely, 2^10510920 is an apocalyptic number.

10510920 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 10510920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20180160).

10510920 is an abundant number, since it is smaller than the sum of its proper divisors (29849400).

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

10510920 is a wasteful number, since it uses less digits than its factorization.

10510920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10510920 is about 3242.0549039151. The cubic root of 10510920 is about 219.0518423586.

It can be divided in two parts, 105 and 10920, that added together give a square (11025 = 105²).

The spelling of 10510920 in words is "ten million, five hundred ten thousand, nine hundred twenty".