105128192 has 72 divisors (see below), whose sum is σ = 233506560. Its totient is φ = 46909440.

The previous prime is 105128189. The next prime is 105128207. The reversal of 105128192 is 291821501.

It is a super-2 number, since 2×105128192² = 22103873506377728, which contains 22 as substring.

It is a nialpdrome in base 16.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102659 + ... + 103677.

Almost surely, 2^105128192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105128192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116753280).

105128192 is an abundant number, since it is smaller than the sum of its proper divisors (128378368).

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

105128192 is a wasteful number, since it uses less digits than its factorization.

105128192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1065 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The square root of 105128192 is about 10253.2039870472. The cubic root of 105128192 is about 471.9613106275.

Adding to 105128192 its reverse (291821501), we get a palindrome (396949693).

The spelling of 105128192 in words is "one hundred five million, one hundred twenty-eight thousand, one hundred ninety-two".