105777858080 has 48 divisors (see below), whose sum is σ = 249973539480. Its totient is φ = 42298724352.

The previous prime is 105777858071. The next prime is 105777858103. The reversal of 105777858080 is 80858777501.

It can be written as a sum of positive squares in 4 ways, for example, as 34362778384 + 71415079696 = 185372^2 + 267236^2 .

It is a super-2 number, since 2×105777858080² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 459752 + ... + 650328.

Almost surely, 2^105777858080 is an apocalyptic number.

105777858080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105777858080 is an abundant number, since it is smaller than the sum of its proper divisors (144195681400).

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

105777858080 is a wasteful number, since it uses less digits than its factorization.

105777858080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194061 (or 194053 counting only the distinct ones).

The product of its (nonzero) digits is 4390400, while the sum is 56.

The spelling of 105777858080 in words is "one hundred five billion, seven hundred seventy-seven million, eight hundred fifty-eight thousand, eighty".