105114001215 has 16 divisors (see below), whose sum is σ = 169725362400. Its totient is φ = 55546480512.

The previous prime is 105114001147. The next prime is 105114001249. The reversal of 105114001215 is 512100411501.

It is not a de Polignac number, because 105114001215 - 2¹¹ = 105113999167 is a prime.

It is a super-2 number, since 2×105114001215² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105114001191 and 105114001200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32143320 + ... + 32146589.

It is an arithmetic number, because the mean of its divisors is an integer number (10607835150).

Almost surely, 2^105114001215 is an apocalyptic number.

105114001215 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105114001215 is a deficient number, since it is larger than the sum of its proper divisors (64611361185).

105114001215 is a wasteful number, since it uses less digits than its factorization.

105114001215 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64290026.

The product of its (nonzero) digits is 200, while the sum is 21.

Adding to 105114001215 its reverse (512100411501), we get a palindrome (617214412716).

The spelling of 105114001215 in words is "one hundred five billion, one hundred fourteen million, one thousand, two hundred fifteen".