105406272 has 70 divisors (see below), whose sum is σ = 312472578. Its totient is φ = 35133696.

The previous prime is 105406261. The next prime is 105406283. The reversal of 105406272 is 272604501.

It is an interprime number because it is at equal distance from previous prime (105406261) and next prime (105406283).

It can be written as a sum of positive squares in only one way, i.e., 104530176 + 876096 = 10224^2 + 936^2 .

It is a super-2 number, since 2×105406272² = 22220964353875968, which contains 22 as substring.

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

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 9 ways as a sum of consecutive naturals, for example, 4983 + ... + 15350.

Almost surely, 2^105406272 is an apocalyptic number.

105406272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105406272 is an abundant number, since it is smaller than the sum of its proper divisors (207066306).

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

105406272 is an equidigital number, since it uses as much as digits as its factorization.

105406272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20357 (or 20338 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 105406272 is about 10266.7556706099. The cubic root of 105406272 is about 472.3770806485.

The spelling of 105406272 in words is "one hundred five million, four hundred six thousand, two hundred seventy-two".