105490735987 has 48 divisors (see below), whose sum is σ = 140035210560. Its totient is φ = 78494717952.

The previous prime is 105490735979. The next prime is 105490735991. The reversal of 105490735987 is 789537094501.

It is not a de Polignac number, because 105490735987 - 2³ = 105490735979 is a prime.

It is a super-2 number, since 2×105490735987² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105490730987) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17940714 + ... + 17946592.

It is an arithmetic number, because the mean of its divisors is an integer number (2917400220).

Almost surely, 2^105490735987 is an apocalyptic number.

105490735987 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

105490735987 is a deficient number, since it is larger than the sum of its proper divisors (34544474573).

105490735987 is a wasteful number, since it uses less digits than its factorization.

105490735987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7580 (or 7573 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 58.

The spelling of 105490735987 in words is "one hundred five billion, four hundred ninety million, seven hundred thirty-five thousand, nine hundred eighty-seven".