105906157 has 16 divisors (see below), whose sum is σ = 124411392. Its totient is φ = 88260480.

The previous prime is 105906149. The next prime is 105906167. The reversal of 105906157 is 751609501.

It is not a de Polignac number, because 105906157 - 2³ = 105906149 is a prime.

It is a super-2 number, since 2×105906157² = 22432228181017298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105906127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132483 + ... + 133279.

It is an arithmetic number, because the mean of its divisors is an integer number (7775712).

Almost surely, 2^105906157 is an apocalyptic number.

It is an amenable number.

105906157 is a deficient number, since it is larger than the sum of its proper divisors (18505235).

105906157 is an equidigital number, since it uses as much as digits as its factorization.

105906157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308.

The product of its (nonzero) digits is 9450, while the sum is 34.

The square root of 105906157 is about 10291.0717128975. The cubic root of 105906157 is about 473.1226463763.

The spelling of 105906157 in words is "one hundred five million, nine hundred six thousand, one hundred fifty-seven".