105500157 has 16 divisors (see below), whose sum is σ = 163797120. Its totient is φ = 59147712.

The previous prime is 105500123. The next prime is 105500203. The reversal of 105500157 is 751005501.

It is not a de Polignac number, because 105500157 - 2¹⁶ = 105434621 is a prime.

It is a super-2 number, since 2×105500157² = 22260566254049298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105500957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46282 + ... + 48507.

It is an arithmetic number, because the mean of its divisors is an integer number (10237320).

Almost surely, 2^105500157 is an apocalyptic number.

It is an amenable number.

105500157 is a deficient number, since it is larger than the sum of its proper divisors (58296963).

105500157 is an equidigital number, since it uses as much as digits as its factorization.

105500157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94852.

The product of its (nonzero) digits is 875, while the sum is 24.

The square root of 105500157 is about 10271.3269347246. The cubic root of 105500157 is about 472.5172872374.

Adding to 105500157 its reverse (751005501), we get a palindrome (856505658).

The spelling of 105500157 in words is "one hundred five million, five hundred thousand, one hundred fifty-seven".