105357127 has 16 divisors (see below), whose sum is σ = 111992832. Its totient is φ = 98962560.

The previous prime is 105357121. The next prime is 105357157. The reversal of 105357127 is 721753501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105357127 is a prime.

It is a super-2 number, since 2×105357127² = 22200248419388258, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105357121) 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, 243103 + ... + 243535.

It is an arithmetic number, because the mean of its divisors is an integer number (6999552).

Almost surely, 2^105357127 is an apocalyptic number.

105357127 is a deficient number, since it is larger than the sum of its proper divisors (6635705).

105357127 is a wasteful number, since it uses less digits than its factorization.

105357127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678.

The product of its (nonzero) digits is 7350, while the sum is 31.

The square root of 105357127 is about 10264.3619869917. The cubic root of 105357127 is about 472.3036549720.

The spelling of 105357127 in words is "one hundred five million, three hundred fifty-seven thousand, one hundred twenty-seven".