106193196 has 36 divisors (see below), whose sum is σ = 270094552. Its totient is φ = 35178624.

The previous prime is 106193183. The next prime is 106193201. The reversal of 106193196 is 691391601.

106193196 is a `hidden beast` number, since 1 + 0 + 619 + 31 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×106193196² = 22553989753388832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106193196.

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, 3181 + ... + 14916.

Almost surely, 2^106193196 is an apocalyptic number.

It is an amenable number.

106193196 is an abundant number, since it is smaller than the sum of its proper divisors (163901356).

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

106193196 is a wasteful number, since it uses less digits than its factorization.

106193196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18270 (or 18265 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The square root of 106193196 is about 10305.0082969399. The cubic root of 106193196 is about 473.5496978605.

The spelling of 106193196 in words is "one hundred six million, one hundred ninety-three thousand, one hundred ninety-six".