105273757 has 2 divisors, whose sum is σ = 105273758. Its totient is φ = 105273756.

The previous prime is 105273709. The next prime is 105273767. The reversal of 105273757 is 757372501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 91030681 + 14243076 = 9541^2 + 3774^2 .

It is a cyclic number.

It is not a de Polignac number, because 105273757 - 2¹¹ = 105271709 is a prime.

It is a super-2 number, since 2×105273757² = 22165127825790098, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105273767) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52636878 + 52636879.

It is an arithmetic number, because the mean of its divisors is an integer number (52636879).

Almost surely, 2^105273757 is an apocalyptic number.

It is an amenable number.

105273757 is a deficient number, since it is larger than the sum of its proper divisors (1).

105273757 is an equidigital number, since it uses as much as digits as its factorization.

105273757 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 51450, while the sum is 37.

The square root of 105273757 is about 10260.3000443457. The cubic root of 105273757 is about 472.1790427836.

It can be divided in two parts, 105273 and 757, that added together give a triangular number (106030 = T₄₆₀).

The spelling of 105273757 in words is "one hundred five million, two hundred seventy-three thousand, seven hundred fifty-seven".