105339369000 has 64 divisors (see below), whose sum is σ = 328658840640. Its totient is φ = 28090497600.

The previous prime is 105339368999. The next prime is 105339369043. The reversal of 105339369000 is 963933501.

It is a super-2 number, since 2×105339369000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105339369000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17553562 + ... + 17559561.

It is an arithmetic number, because the mean of its divisors is an integer number (5135294385).

Almost surely, 2^105339369000 is an apocalyptic number.

105339369000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105339369000 is an abundant number, since it is smaller than the sum of its proper divisors (223319471640).

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

105339369000 is a wasteful number, since it uses less digits than its factorization.

105339369000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35113147 (or 35113133 counting only the distinct ones).

The product of its (nonzero) digits is 65610, while the sum is 39.

The spelling of 105339369000 in words is "one hundred five billion, three hundred thirty-nine million, three hundred sixty-nine thousand".