105135769476 has 96 divisors (see below), whose sum is σ = 301156289280. Its totient is φ = 31549681152.

The previous prime is 105135769369. The next prime is 105135769477. The reversal of 105135769476 is 674967531501.

105135769476 is a `hidden beast` number, since 1 + 0 + 513 + 57 + 6 + 9 + 4 + 76 = 666.

It is a super-2 number, since 2×105135769476² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (105135769477) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1202631 + ... + 1287086.

It is an arithmetic number, because the mean of its divisors is an integer number (3137044680).

Almost surely, 2^105135769476 is an apocalyptic number.

It is an amenable number.

105135769476 is an abundant number, since it is smaller than the sum of its proper divisors (196020519804).

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

105135769476 is a wasteful number, since it uses less digits than its factorization.

105135769476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2489770 (or 2489762 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The spelling of 105135769476 in words is "one hundred five billion, one hundred thirty-five million, seven hundred sixty-nine thousand, four hundred seventy-six".