106046192 has 60 divisors (see below), whose sum is σ = 249443856. Its totient is φ = 43464960.

The previous prime is 106046183. The next prime is 106046207. The reversal of 106046192 is 291640601.

It is a super-2 number, since 2×106046192² = 22491589675401728, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15092 + ... + 20972.

Almost surely, 2^106046192 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 106046192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124721928).

106046192 is an abundant number, since it is smaller than the sum of its proper divisors (143397664).

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

106046192 is a wasteful number, since it uses less digits than its factorization.

106046192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5926 (or 5913 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 106046192 is about 10297.8731784772. The cubic root of 106046192 is about 473.3310842098.

Adding to 106046192 its reverse (291640601), we get a palindrome (397686793).

The spelling of 106046192 in words is "one hundred six million, forty-six thousand, one hundred ninety-two".