105066192 has 240 divisors, whose sum is σ = 358262784. Its totient is φ = 26208000.

The previous prime is 105066179. The next prime is 105066209. The reversal of 105066192 is 291660501.

It is a super-2 number, since 2×105066192² = 22077809402761728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 801967 + ... + 802097.

Almost surely, 2^105066192 is an apocalyptic number.

105066192 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 105066192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179131392).

105066192 is an abundant number, since it is smaller than the sum of its proper divisors (253196592).

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

105066192 is a wasteful number, since it uses less digits than its factorization.

105066192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 105066192 is about 10250.1800959788. The cubic root of 105066192 is about 471.8685116837.

The spelling of 105066192 in words is "one hundred five million, sixty-six thousand, one hundred ninety-two".