105985603000 has 32 divisors (see below), whose sum is σ = 248006313360. Its totient is φ = 42394240800.

The previous prime is 105985602997. The next prime is 105985603001. The reversal of 105985603000 is 306589501.

It is a super-2 number, since 2×105985603000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105985603001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52991802 + ... + 52993801.

Almost surely, 2^105985603000 is an apocalyptic number.

105985603000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105985603000 is an abundant number, since it is smaller than the sum of its proper divisors (142020710360).

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

105985603000 is a wasteful number, since it uses less digits than its factorization.

105985603000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105985624 (or 105985610 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 105985603000 in words is "one hundred five billion, nine hundred eighty-five million, six hundred three thousand".