105240214131235 has 32 divisors (see below), whose sum is σ = 130904271061632. Its totient is φ = 81157642352640.

The previous prime is 105240214131211. The next prime is 105240214131271. The reversal of 105240214131235 is 532131412042501.

It is a de Polignac number, because none of the positive numbers 2^k-105240214131235 is a prime.

It is a super-2 number, since 2×105240214131235² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105240214131235.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48717642 + ... + 50831968.

It is an arithmetic number, because the mean of its divisors is an integer number (4090758470676).

Almost surely, 2^{105240214131235} is an apocalyptic number.

105240214131235 is a deficient number, since it is larger than the sum of its proper divisors (25664056930397).

105240214131235 is a wasteful number, since it uses less digits than its factorization.

105240214131235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2116863.

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 105240214131235 its reverse (532131412042501), we get a palindrome (637371626173736).

The spelling of 105240214131235 in words is "one hundred five trillion, two hundred forty billion, two hundred fourteen million, one hundred thirty-one thousand, two hundred thirty-five".