105151457 has 2 divisors, whose sum is σ = 105151458. Its totient is φ = 105151456.

The previous prime is 105151441. The next prime is 105151471. The reversal of 105151457 is 754151501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103713856 + 1437601 = 10184^2 + 1199^2 .

It is a cyclic number.

It is not a de Polignac number, because 105151457 - 2⁴ = 105151441 is a prime.

It is a super-2 number, since 2×105151457² = 22113657818445698, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105151427) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52575728 + 52575729.

It is an arithmetic number, because the mean of its divisors is an integer number (52575729).

Almost surely, 2^105151457 is an apocalyptic number.

It is an amenable number.

105151457 is a deficient number, since it is larger than the sum of its proper divisors (1).

105151457 is an equidigital number, since it uses as much as digits as its factorization.

105151457 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3500, while the sum is 29.

The square root of 105151457 is about 10254.3384477011. The cubic root of 105151457 is about 471.9961232685.

The spelling of 105151457 in words is "one hundred five million, one hundred fifty-one thousand, four hundred fifty-seven".