106349841 has 60 divisors (see below), whose sum is σ = 182546892. Its totient is φ = 61461504.

The previous prime is 106349833. The next prime is 106349849. The reversal of 106349841 is 148943601.

106349841 is a `hidden beast` number, since 10 + 634 + 9 + 8 + 4 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (106349833) and next prime (106349849).

It can be written as a sum of positive squares in 6 ways, for example, as 156816 + 106193025 = 396^2 + 10305^2 .

It is not a de Polignac number, because 106349841 - 2³ = 106349833 is a prime.

It is a super-2 number, since 2×106349841² = 22620577361450562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106349796 and 106349805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106349849) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 232485 + ... + 232941.

Almost surely, 2^106349841 is an apocalyptic number.

It is an amenable number.

106349841 is a deficient number, since it is larger than the sum of its proper divisors (76197051).

106349841 is a wasteful number, since it uses less digits than its factorization.

106349841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106349841 is about 10312.6059267287. The cubic root of 106349841 is about 473.7824269847.

The spelling of 106349841 in words is "one hundred six million, three hundred forty-nine thousand, eight hundred forty-one".