105190092 has 72 divisors (see below), whose sum is σ = 311324832. Its totient is φ = 29318400.

The previous prime is 105190091. The next prime is 105190093. The reversal of 105190092 is 290091501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105190091) and next prime (105190093).

It is a super-2 number, since 2×105190092² = 22129910909936928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105190091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5242 + ... + 15422.

It is an arithmetic number, because the mean of its divisors is an integer number (4323956).

Almost surely, 2^105190092 is an apocalyptic number.

105190092 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 105190092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155662416).

105190092 is an abundant number, since it is smaller than the sum of its proper divisors (206134740).

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

105190092 is a wasteful number, since it uses less digits than its factorization.

105190092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10239 (or 10234 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 105190092 is about 10256.2221114795. Note that the first 3 decimals coincide. The cubic root of 105190092 is about 472.0539235051.

The spelling of 105190092 in words is "one hundred five million, one hundred ninety thousand, ninety-two".