105052777752 has 64 divisors (see below), whose sum is σ = 289732836960. Its totient is φ = 31535539200.

The previous prime is 105052777741. The next prime is 105052777759. The reversal of 105052777752 is 257777250501.

It is a happy number.

It is a super-2 number, since 2×105052777752² (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 (105052777759) 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, 4093399 + ... + 4118982.

Almost surely, 2^105052777752 is an apocalyptic number.

105052777752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105052777752 is an abundant number, since it is smaller than the sum of its proper divisors (184680059208).

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

105052777752 is a wasteful number, since it uses less digits than its factorization.

105052777752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8212444 (or 8212440 counting only the distinct ones).

The product of its (nonzero) digits is 1200500, while the sum is 48.

The spelling of 105052777752 in words is "one hundred five billion, fifty-two million, seven hundred seventy-seven thousand, seven hundred fifty-two".