105772781882088 has 24 divisors (see below), whose sum is σ = 286467950930850. Its totient is φ = 35257593960672.

The previous prime is 105772781882083. The next prime is 105772781882101. The reversal of 105772781882088 is 880288187277501.

105772781882088 is a `hidden beast` number, since 1 + 0 + 5 + 77 + 278 + 1 + 88 + 208 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 104359341472164 + 1413440409924 = 10215642^2 + 1188882^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105772781882088² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 1469066415029 = 105772781882088 / (1 + 0 + 5 + 7 + 7 + 2 + 7 + 8 + 1 + 8 + 8 + 2 + 0 + 8 + 8).

It is not an unprimeable number, because it can be changed into a prime (105772781882083) 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, 734533207443 + ... + 734533207586.

Almost surely, 2^{105772781882088} is an apocalyptic number.

105772781882088 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105772781882088 is an abundant number, since it is smaller than the sum of its proper divisors (180695169048762).

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

105772781882088 is a wasteful number, since it uses less digits than its factorization.

105772781882088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469066415041 (or 1469066415034 counting only the distinct ones).

The product of its (nonzero) digits is 224788480, while the sum is 72.

The spelling of 105772781882088 in words is "one hundred five trillion, seven hundred seventy-two billion, seven hundred eighty-one million, eight hundred eighty-two thousand, eighty-eight".