105668157 has 48 divisors (see below), whose sum is σ = 170744640. Its totient is φ = 57915648.

The previous prime is 105668153. The next prime is 105668161. The reversal of 105668157 is 751866501.

It is an interprime number because it is at equal distance from previous prime (105668153) and next prime (105668161).

It is not a de Polignac number, because 105668157 - 2² = 105668153 is a prime.

It is a super-2 number, since 2×105668157² = 22331518807553298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105668153) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 461319 + ... + 461547.

It is an arithmetic number, because the mean of its divisors is an integer number (3557180).

Almost surely, 2^105668157 is an apocalyptic number.

It is an amenable number.

105668157 is a deficient number, since it is larger than the sum of its proper divisors (65076483).

105668157 is a wasteful number, since it uses less digits than its factorization.

105668157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 105668157 is about 10279.5017875381. The cubic root of 105668157 is about 472.7679687116.

The spelling of 105668157 in words is "one hundred five million, six hundred sixty-eight thousand, one hundred fifty-seven".