105858157 has 2 divisors, whose sum is σ = 105858158. Its totient is φ = 105858156.

The previous prime is 105858107. The next prime is 105858161. The reversal of 105858157 is 751858501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 93141801 + 12716356 = 9651^2 + 3566^2 .

It is a cyclic number.

It is not a de Polignac number, because 105858157 - 2¹⁹ = 105333869 is a prime.

It is a super-2 number, since 2×105858157² = 22411898806873298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105858107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52929078 + 52929079.

It is an arithmetic number, because the mean of its divisors is an integer number (52929079).

Almost surely, 2^105858157 is an apocalyptic number.

It is an amenable number.

105858157 is a deficient number, since it is larger than the sum of its proper divisors (1).

105858157 is an equidigital number, since it uses as much as digits as its factorization.

105858157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 56000, while the sum is 40.

The square root of 105858157 is about 10288.7393299665. The cubic root of 105858157 is about 473.0511575555.

The spelling of 105858157 in words is "one hundred five million, eight hundred fifty-eight thousand, one hundred fifty-seven".