105505511130 has 24 divisors (see below), whose sum is σ = 274314329172. Its totient is φ = 28134802944.

The previous prime is 105505511087. The next prime is 105505511131. The reversal of 105505511130 is 31115505501.

105505511130 is a `hidden beast` number, since 10 + 5 + 5 + 0 + 5 + 511 + 130 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97439495409 + 8066015721 = 312153^2 + 89811^2 .

It is a super-2 number, since 2×105505511130² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105505511094 and 105505511103.

It is not an unprimeable number, because it can be changed into a prime (105505511131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586141639 + ... + 586141818.

Almost surely, 2^105505511130 is an apocalyptic number.

105505511130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105505511130 is an abundant number, since it is smaller than the sum of its proper divisors (168808818042).

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

105505511130 is a wasteful number, since it uses less digits than its factorization.

105505511130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172283470 (or 1172283467 counting only the distinct ones).

The product of its (nonzero) digits is 1875, while the sum is 27.

The spelling of 105505511130 in words is "one hundred five billion, five hundred five million, five hundred eleven thousand, one hundred thirty".