105011512116015 has 32 divisors (see below), whose sum is σ = 168874758074880. Its totient is φ = 55720705195904.

The previous prime is 105011512116011. The next prime is 105011512116037. The reversal of 105011512116015 is 510611215110501.

It is a cyclic number.

It is not a de Polignac number, because 105011512116015 - 2² = 105011512116011 is a prime.

It is a super-2 number, since 2×105011512116015² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105011512116011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 155471296 + ... + 156145274.

It is an arithmetic number, because the mean of its divisors is an integer number (5277336189840).

Almost surely, 2^{105011512116015} is an apocalyptic number.

105011512116015 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105011512116015 is a deficient number, since it is larger than the sum of its proper divisors (63863245958865).

105011512116015 is a wasteful number, since it uses less digits than its factorization.

105011512116015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726911.

The product of its (nonzero) digits is 1500, while the sum is 30.

Adding to 105011512116015 its reverse (510611215110501), we get a palindrome (615622727226516).

The spelling of 105011512116015 in words is "one hundred five trillion, eleven billion, five hundred twelve million, one hundred sixteen thousand, fifteen".