105288157 has 32 divisors (see below), whose sum is σ = 124921440. Its totient is φ = 87859200.

The previous prime is 105288143. The next prime is 105288163. The reversal of 105288157 is 751882501.

It can be written as a sum of positive squares in 16 ways, for example, as 4104676 + 101183481 = 2026^2 + 10059^2 .

It is not a de Polignac number, because 105288157 - 2¹⁵ = 105255389 is a prime.

It is a super-2 number, since 2×105288157² = 22171192008913298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105288137) 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, 1042407 + ... + 1042507.

It is an arithmetic number, because the mean of its divisors is an integer number (3903795).

Almost surely, 2^105288157 is an apocalyptic number.

105288157 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105288157 is a deficient number, since it is larger than the sum of its proper divisors (19633283).

105288157 is a wasteful number, since it uses less digits than its factorization.

105288157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273.

The product of its (nonzero) digits is 22400, while the sum is 37.

The square root of 105288157 is about 10261.0017542148. The cubic root of 105288157 is about 472.2005709986.

The spelling of 105288157 in words is "one hundred five million, two hundred eighty-eight thousand, one hundred fifty-seven".