105000192 has 144 divisors (see below), whose sum is σ = 338976960. Its totient is φ = 31795200.

The previous prime is 105000173. The next prime is 105000197. The reversal of 105000192 is 291000501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105000192² = 22050080640073728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105000197) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75342 + ... + 76722.

Almost surely, 2^105000192 is an apocalyptic number.

105000192 is a gapful number since it is divisible by the number (12) 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 105000192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169488480).

105000192 is an abundant number, since it is smaller than the sum of its proper divisors (233976768).

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

105000192 is a wasteful number, since it uses less digits than its factorization.

105000192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 105000192 is about 10246.9601345960. The cubic root of 105000192 is about 471.7696855862.

Adding to 105000192 its reverse (291000501), we get a palindrome (396000693).

The spelling of 105000192 in words is "one hundred five million, one hundred ninety-two", and thus it is an aban number.