106189641 has 6 divisors (see below), whose sum is σ = 153385050. Its totient is φ = 70793088.

The previous prime is 106189639. The next prime is 106189679. The reversal of 106189641 is 146981601.

It is a happy number.

106189641 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 8 + 9 + 641 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78057225 + 28132416 = 8835^2 + 5304^2 .

It is not a de Polignac number, because 106189641 - 2¹ = 106189639 is a prime.

It is a super-2 number, since 2×106189641² = 22552479711417762, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106189596 and 106189605.

It is not an unprimeable number, because it can be changed into a prime (106189621) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5899416 + ... + 5899433.

It is an arithmetic number, because the mean of its divisors is an integer number (25564175).

Almost surely, 2^106189641 is an apocalyptic number.

It is an amenable number.

106189641 is a deficient number, since it is larger than the sum of its proper divisors (47195409).

106189641 is a wasteful number, since it uses less digits than its factorization.

106189641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11798855 (or 11798852 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 106189641 is about 10304.8358065522. The cubic root of 106189641 is about 473.5444135045.

The spelling of 106189641 in words is "one hundred six million, one hundred eighty-nine thousand, six hundred forty-one".