105272590 has 16 divisors (see below), whose sum is σ = 195603840. Its totient is φ = 40750560.

The previous prime is 105272561. The next prime is 105272593. The reversal of 105272590 is 95272501.

It is a super-2 number, since 2×105272590² = 22164636410616200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105272593) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169485 + ... + 170104.

It is an arithmetic number, because the mean of its divisors is an integer number (12225240).

Almost surely, 2^105272590 is an apocalyptic number.

105272590 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105272590 is a deficient number, since it is larger than the sum of its proper divisors (90331250).

105272590 is a wasteful number, since it uses less digits than its factorization.

105272590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339627.

The product of its (nonzero) digits is 6300, while the sum is 31.

The square root of 105272590 is about 10260.2431745061. The cubic root of 105272590 is about 472.1772980152.

The spelling of 105272590 in words is "one hundred five million, two hundred seventy-two thousand, five hundred ninety".