105698892 has 96 divisors (see below), whose sum is σ = 281111040. Its totient is φ = 30666240.

The previous prime is 105698891. The next prime is 105698893. The reversal of 105698892 is 298896501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105698891) and next prime (105698893).

It is a super-2 number, since 2×105698892² = 22344511540055328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105698891) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 319167 + ... + 319497.

It is an arithmetic number, because the mean of its divisors is an integer number (2928240).

Almost surely, 2^105698892 is an apocalyptic number.

105698892 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 105698892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140555520).

105698892 is an abundant number, since it is smaller than the sum of its proper divisors (175412148).

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

105698892 is a wasteful number, since it uses less digits than its factorization.

105698892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 48.

The square root of 105698892 is about 10280.9966442948. The cubic root of 105698892 is about 472.8138012354.

The spelling of 105698892 in words is "one hundred five million, six hundred ninety-eight thousand, eight hundred ninety-two".