105266155122 has 126 divisors (see below), whose sum is σ = 246025183287. Its totient is φ = 33763135392.

The previous prime is 105266155097. The next prime is 105266155147. The reversal of 105266155122 is 221551662501.

105266155122 is a `hidden beast` number, since 1 + 0 + 5 + 26 + 61 + 551 + 22 = 666.

It is an interprime number because it is at equal distance from previous prime (105266155097) and next prime (105266155147).

It can be written as a sum of positive squares in 5 ways, for example, as 100698963561 + 4567191561 = 317331^2 + 67581^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=229419.

It is a super-2 number, since 2×105266155122² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 359270008 + ... + 359270300.

Almost surely, 2^105266155122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105266155122

105266155122 is an abundant number, since it is smaller than the sum of its proper divisors (140759028165).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105266155122 is an frugal number, since it uses more digits than its factorization.

105266155122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The spelling of 105266155122 in words is "one hundred five billion, two hundred sixty-six million, one hundred fifty-five thousand, one hundred twenty-two".