105011430015 has 32 divisors (see below), whose sum is σ = 171901854720. Its totient is φ = 54715862144.

The previous prime is 105011430001. The next prime is 105011430047. The reversal of 105011430015 is 510034110501.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 105011430015 - 2⁶ = 105011429951 is a prime.

It is a super-2 number, since 2×105011430015² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105011429973 and 105011430000.

It is a congruent number.

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, 258976 + ... + 526394.

It is an arithmetic number, because the mean of its divisors is an integer number (5371932960).

Almost surely, 2^105011430015 is an apocalyptic number.

105011430015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105011430015 is a deficient number, since it is larger than the sum of its proper divisors (66890424705).

105011430015 is a wasteful number, since it uses less digits than its factorization.

105011430015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268031.

The product of its (nonzero) digits is 300, while the sum is 21.

Adding to 105011430015 its reverse (510034110501), we get a palindrome (615045540516).

The spelling of 105011430015 in words is "one hundred five billion, eleven million, four hundred thirty thousand, fifteen".