105086157 has 32 divisors (see below), whose sum is σ = 158336640. Its totient is φ = 61440000.

The previous prime is 105086153. The next prime is 105086159. The reversal of 105086157 is 751680501.

It is not a de Polignac number, because 105086157 - 2² = 105086153 is a prime.

It is a super-2 number, since 2×105086157² = 22086200786057298, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105086153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136269 + ... + 137037.

It is an arithmetic number, because the mean of its divisors is an integer number (4948020).

Almost surely, 2^105086157 is an apocalyptic number.

It is an amenable number.

105086157 is a deficient number, since it is larger than the sum of its proper divisors (53250483).

105086157 is a wasteful number, since it uses less digits than its factorization.

105086157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925.

The product of its (nonzero) digits is 8400, while the sum is 33.

The square root of 105086157 is about 10251.1539350456. The cubic root of 105086157 is about 471.8983984246.

The spelling of 105086157 in words is "one hundred five million, eighty-six thousand, one hundred fifty-seven".