10112766 has 16 divisors (see below), whose sum is σ = 20772624. Its totient is φ = 3279744.

The previous prime is 10112761. The next prime is 10112797. The reversal of 10112766 is 66721101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112761) 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, 22555 + ... + 22998.

It is an arithmetic number, because the mean of its divisors is an integer number (1298289).

Almost surely, 2^10112766 is an apocalyptic number.

10112766 is an abundant number, since it is smaller than the sum of its proper divisors (10659858).

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

10112766 is a wasteful number, since it uses less digits than its factorization.

10112766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45595.

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 10112766 is about 3180.0575466491. The cubic root of 10112766 is about 216.2502671876.

Adding to 10112766 its reverse (66721101), we get a palindrome (76833867).

It can be divided in two parts, 10112 and 766, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 10112766 in words is "ten million, one hundred twelve thousand, seven hundred sixty-six".