105206466740 has 48 divisors (see below), whose sum is σ = 238847145600. Its totient is φ = 38790202752.

The previous prime is 105206466737. The next prime is 105206466751. The reversal of 105206466740 is 47664602501.

It is a happy number.

It is a super-2 number, since 2×105206466740² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3727280 + ... + 3755399.

It is an arithmetic number, because the mean of its divisors is an integer number (4975982200).

Almost surely, 2^105206466740 is an apocalyptic number.

105206466740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105206466740 is an abundant number, since it is smaller than the sum of its proper divisors (133640678860).

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

105206466740 is a wasteful number, since it uses less digits than its factorization.

105206466740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7482744 (or 7482742 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 105206466740 in words is "one hundred five billion, two hundred six million, four hundred sixty-six thousand, seven hundred forty".