10505772 has 54 divisors (see below), whose sum is σ = 27582828. Its totient is φ = 3371424.

The previous prime is 10505767. The next prime is 10505777. The reversal of 10505772 is 27750501.

It is an interprime number because it is at equal distance from previous prime (10505767) and next prime (10505777).

It is a super-2 number, since 2×10505772² = 220742490631968, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10505777) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 30103 + ... + 30449.

Almost surely, 2^10505772 is an apocalyptic number.

10505772 is a gapful number since it is divisible by the number (12) 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 10505772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13791414).

10505772 is an abundant number, since it is smaller than the sum of its proper divisors (17077056).

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

10505772 is a wasteful number, since it uses less digits than its factorization.

10505772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 381 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 10505772 is about 3241.2608657743. The cubic root of 10505772 is about 219.0160743815.

The spelling of 10505772 in words is "ten million, five hundred five thousand, seven hundred seventy-two".