105185398000 has 80 divisors (see below), whose sum is σ = 255278125440. Its totient is φ = 41918688000.

The previous prime is 105185397983. The next prime is 105185398037. The reversal of 105185398000 is 893581501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×105185398000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 444966 + ... + 639034.

It is an arithmetic number, because the mean of its divisors is an integer number (3190976568).

Almost surely, 2^105185398000 is an apocalyptic number.

105185398000 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 105185398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127639062720).

105185398000 is an abundant number, since it is smaller than the sum of its proper divisors (150092727440).

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

105185398000 is a wasteful number, since it uses less digits than its factorization.

105185398000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194363 (or 194347 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 40.

The spelling of 105185398000 in words is "one hundred five billion, one hundred eighty-five million, three hundred ninety-eight thousand".