105231763 has 36 divisors (see below), whose sum is σ = 137971008. Its totient is φ = 79470720.

The previous prime is 105231743. The next prime is 105231767. The reversal of 105231763 is 367132501.

It is not a de Polignac number, because 105231763 - 2²¹ = 103134611 is a prime.

It is a super-2 number, since 2×105231763² = 22147447888176338, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105231767) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1441495 + ... + 1441567.

It is an arithmetic number, because the mean of its divisors is an integer number (3832528).

Almost surely, 2^105231763 is an apocalyptic number.

105231763 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105231763 is a deficient number, since it is larger than the sum of its proper divisors (32739245).

105231763 is an equidigital number, since it uses as much as digits as its factorization.

105231763 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 105231763 is about 10258.2534088411. The cubic root of 105231763 is about 472.1162499140.

The spelling of 105231763 in words is "one hundred five million, two hundred thirty-one thousand, seven hundred sixty-three".