10105272 has 24 divisors (see below), whose sum is σ = 27368640. Its totient is φ = 3368400.

The previous prime is 10105267. The next prime is 10105309. The reversal of 10105272 is 27250101.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 70104 + ... + 70247.

It is an arithmetic number, because the mean of its divisors is an integer number (1140360).

Almost surely, 2^10105272 is an apocalyptic number.

10105272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10105272 is an abundant number, since it is smaller than the sum of its proper divisors (17263368).

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

10105272 is a wasteful number, since it uses less digits than its factorization.

10105272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140363 (or 140356 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10105272 is about 3178.8790477148. The cubic root of 10105272 is about 216.1968370323.

Adding to 10105272 its reverse (27250101), we get a palindrome (37355373).

It can be divided in two parts, 101052 and 72, that added together give a square (101124 = 318²).

The spelling of 10105272 in words is "ten million, one hundred five thousand, two hundred seventy-two".