10106105115 has 32 divisors (see below), whose sum is σ = 16238926080. Its totient is φ = 5366922624.

The previous prime is 10106105083. The next prime is 10106105123. The reversal of 10106105115 is 51150160101.

It is a happy number.

It is not a de Polignac number, because 10106105115 - 2⁵ = 10106105083 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10106105091 and 10106105100.

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, 4984732 + ... + 4986758.

It is an arithmetic number, because the mean of its divisors is an integer number (507466440).

Almost surely, 2^10106105115 is an apocalyptic number.

10106105115 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10106105115 is a deficient number, since it is larger than the sum of its proper divisors (6132820965).

10106105115 is a wasteful number, since it uses less digits than its factorization.

10106105115 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291.

The product of its (nonzero) digits is 150, while the sum is 21.

Adding to 10106105115 its reverse (51150160101), we get a palindrome (61256265216).

The spelling of 10106105115 in words is "ten billion, one hundred six million, one hundred five thousand, one hundred fifteen".