105105606151 has 16 divisors (see below), whose sum is σ = 129384247104. Its totient is φ = 83145371904.

The previous prime is 105105606131. The next prime is 105105606157. The reversal of 105105606151 is 151606501501.

It is not a de Polignac number, because 105105606151 - 2⁵ = 105105606119 is a prime.

It is a super-2 number, since 2×105105606151² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105606157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412701 + ... + 616873.

It is an arithmetic number, because the mean of its divisors is an integer number (8086515444).

Almost surely, 2^105105606151 is an apocalyptic number.

105105606151 is a deficient number, since it is larger than the sum of its proper divisors (24278640953).

105105606151 is a wasteful number, since it uses less digits than its factorization.

105105606151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209850.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 105105606151 in words is "one hundred five billion, one hundred five million, six hundred six thousand, one hundred fifty-one".