105311001142235 has 64 divisors (see below), whose sum is σ = 145800739584000. Its totient is φ = 71530055258112.

The previous prime is 105311001142213. The next prime is 105311001142289. The reversal of 105311001142235 is 532241100113501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105311001142235 - 2⁸ = 105311001141979 is a prime.

It is a super-2 number, since 2×105311001142235² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105311001142198 and 105311001142207.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1521866657 + ... + 1521935853.

It is an arithmetic number, because the mean of its divisors is an integer number (2278136556000).

Almost surely, 2^{105311001142235} is an apocalyptic number.

105311001142235 is a deficient number, since it is larger than the sum of its proper divisors (40489738441765).

105311001142235 is a wasteful number, since it uses less digits than its factorization.

105311001142235 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70380.

The product of its (nonzero) digits is 3600, while the sum is 29.

Adding to 105311001142235 its reverse (532241100113501), we get a palindrome (637552101255736).

The spelling of 105311001142235 in words is "one hundred five trillion, three hundred eleven billion, one million, one hundred forty-two thousand, two hundred thirty-five".