105777252396 has 18 divisors (see below), whose sum is σ = 267381388092. Its totient is φ = 35259084120.

The previous prime is 105777252391. The next prime is 105777252439. The reversal of 105777252396 is 693252777501.

105777252396 is a `hidden beast` number, since 10 + 577 + 7 + 2 + 52 + 3 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105777252396² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105777252391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1469128470 + ... + 1469128541.

Almost surely, 2^105777252396 is an apocalyptic number.

It is an amenable number.

105777252396 is an abundant number, since it is smaller than the sum of its proper divisors (161604135696).

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

105777252396 is a wasteful number, since it uses less digits than its factorization.

105777252396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938257021 (or 2938257016 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 105777252396 in words is "one hundred five billion, seven hundred seventy-seven million, two hundred fifty-two thousand, three hundred ninety-six".