105108192 has 144 divisors (see below), whose sum is σ = 354436992. Its totient is φ = 30015360.

The previous prime is 105108167. The next prime is 105108239. The reversal of 105108192 is 291801501.

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

It is a super-2 number, since 2×105108192² = 22095464051017728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53467 + ... + 55397.

It is an arithmetic number, because the mean of its divisors is an integer number (2461368).

Almost surely, 2^105108192 is an apocalyptic number.

105108192 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 105108192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177218496).

105108192 is an abundant number, since it is smaller than the sum of its proper divisors (249328800).

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

105108192 is an equidigital number, since it uses as much as digits as its factorization.

105108192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1963 (or 1943 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 27.

The square root of 105108192 is about 10252.2286357650. The cubic root of 105108192 is about 471.9313794717.

Adding to 105108192 its reverse (291801501), we get a palindrome (396909693).

The spelling of 105108192 in words is "one hundred five million, one hundred eight thousand, one hundred ninety-two".