105290540127 has 24 divisors (see below), whose sum is σ = 152768041920. Its totient is φ = 69879237120.

The previous prime is 105290540123. The next prime is 105290540137. The reversal of 105290540127 is 721045092501.

105290540127 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 90 + 540 + 1 + 27 = 666.

It is not a de Polignac number, because 105290540127 - 2² = 105290540123 is a prime.

It is a super-2 number, since 2×105290540127² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105290540091 and 105290540100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105290540123) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11389227 + ... + 11398467.

It is an arithmetic number, because the mean of its divisors is an integer number (6365335080).

Almost surely, 2^105290540127 is an apocalyptic number.

105290540127 is a deficient number, since it is larger than the sum of its proper divisors (47477501793).

105290540127 is a wasteful number, since it uses less digits than its factorization.

105290540127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14783 (or 14780 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 105290540127 in words is "one hundred five billion, two hundred ninety million, five hundred forty thousand, one hundred twenty-seven".