105360192 has 126 divisors (see below), whose sum is σ = 351395538. Its totient is φ = 30094848.

The previous prime is 105360121. The next prime is 105360221. The reversal of 105360192 is 291063501.

105360192 is a `hidden beast` number, since 1 + 0 + 53 + 601 + 9 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 91699776 + 13660416 = 9576^2 + 3696^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×105360192² = 22201540116553728, which contains 22 as substring.

It is a nialpdrome in base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26358 + ... + 30090.

Almost surely, 2^105360192 is an apocalyptic number.

105360192 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 105360192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175697769).

105360192 is an abundant number, since it is smaller than the sum of its proper divisors (246035346).

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

105360192 is a wasteful number, since it uses less digits than its factorization.

105360192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3765 (or 3745 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 105360192 is about 10264.5112889022. The cubic root of 105360192 is about 472.3082349395.

The spelling of 105360192 in words is "one hundred five million, three hundred sixty thousand, one hundred ninety-two".