105267136833 has 6 divisors (see below), whose sum is σ = 152052530994. Its totient is φ = 70178091216.

The previous prime is 105267136783. The next prime is 105267136873. The reversal of 105267136833 is 338631762501.

105267136833 is a `hidden beast` number, since 10 + 526 + 7 + 1 + 36 + 83 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75203738289 + 30063398544 = 274233^2 + 173388^2 .

It is not a de Polignac number, because 105267136833 - 2¹⁷ = 105267005761 is a prime.

It is a super-2 number, since 2×105267136833² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105267136873) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5848174260 + ... + 5848174277.

It is an arithmetic number, because the mean of its divisors is an integer number (25342088499).

Almost surely, 2^105267136833 is an apocalyptic number.

It is an amenable number.

105267136833 is a deficient number, since it is larger than the sum of its proper divisors (46785394161).

105267136833 is a wasteful number, since it uses less digits than its factorization.

105267136833 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11696348543 (or 11696348540 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 105267136833 in words is "one hundred five billion, two hundred sixty-seven million, one hundred thirty-six thousand, eight hundred thirty-three".