105250272 has 72 divisors (see below), whose sum is σ = 291684456. Its totient is φ = 33225984.

The previous prime is 105250267. The next prime is 105250279. The reversal of 105250272 is 272052501.

It is a super-2 number, since 2×105250272² = 22155239512147968, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105250279) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33138 + ... + 36174.

It is an arithmetic number, because the mean of its divisors is an integer number (4051173).

Almost surely, 2^105250272 is an apocalyptic number.

105250272 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 105250272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145842228).

105250272 is an abundant number, since it is smaller than the sum of its proper divisors (186434184).

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

105250272 is a wasteful number, since it uses less digits than its factorization.

105250272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3088 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 105250272 is about 10259.1555208019. The cubic root of 105250272 is about 472.1439281459.

The spelling of 105250272 in words is "one hundred five million, two hundred fifty thousand, two hundred seventy-two".