105011000600 has 48 divisors (see below), whose sum is σ = 266346088920. Its totient is φ = 38185817600.

The previous prime is 105011000581. The next prime is 105011000621. The reversal of 105011000600 is 6000110501.

It is a super-2 number, since 2×105011000600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23863937 + ... + 23868336.

Almost surely, 2^105011000600 is an apocalyptic number.

105011000600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105011000600 is an abundant number, since it is smaller than the sum of its proper divisors (161335088320).

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

105011000600 is a wasteful number, since it uses less digits than its factorization.

105011000600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47732300 (or 47732291 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

It can be divided in two parts, 10501 and 1000600, that added together give a palindrome (1011101).

The spelling of 105011000600 in words is "one hundred five billion, eleven million, six hundred", and thus it is an aban number.