105263172 has 72 divisors (see below), whose sum is σ = 317476320. Its totient is φ = 30073680.

The previous prime is 105263161. The next prime is 105263177. The reversal of 105263172 is 271362501.

It is a happy number.

It is a super-2 number, since 2×105263172² = 22160670759003168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105263177) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4654 + ... + 15237.

Almost surely, 2^105263172 is an apocalyptic number.

105263172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105263172 is an abundant number, since it is smaller than the sum of its proper divisors (212213148).

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

105263172 is a wasteful number, since it uses less digits than its factorization.

105263172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19918 (or 19903 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 105263172 is about 10259.7842082570. The cubic root of 105263172 is about 472.1632167986.

The spelling of 105263172 in words is "one hundred five million, two hundred sixty-three thousand, one hundred seventy-two".