105023186500 has 192 divisors, whose sum is σ = 260289469440. Its totient is φ = 36794419200.

The previous prime is 105023186491. The next prime is 105023186519. The reversal of 105023186500 is 5681320501.

It is a super-2 number, since 2×105023186500² (a number of 23 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 7226241 + ... + 7240759.

It is an arithmetic number, because the mean of its divisors is an integer number (1355674320).

Almost surely, 2^105023186500 is an apocalyptic number.

105023186500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105023186500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130144734720).

105023186500 is an abundant number, since it is smaller than the sum of its proper divisors (155266282940).

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

105023186500 is a wasteful number, since it uses less digits than its factorization.

105023186500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14615 (or 14603 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 31.

The spelling of 105023186500 in words is "one hundred five billion, twenty-three million, one hundred eighty-six thousand, five hundred".