106289937 has 48 divisors (see below), whose sum is σ = 174061888. Its totient is φ = 62052480.

The previous prime is 106289929. The next prime is 106289977. The reversal of 106289937 is 739982601.

106289937 is a `hidden beast` number, since 10 + 628 + 9 + 9 + 3 + 7 = 666.

It is not a de Polignac number, because 106289937 - 2³ = 106289929 is a prime.

It is a super-2 number, since 2×106289937² = 22595101414927938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106289892 and 106289901.

It is not an unprimeable number, because it can be changed into a prime (106289927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 185862 + ... + 186432.

Almost surely, 2^106289937 is an apocalyptic number.

It is an amenable number.

106289937 is a deficient number, since it is larger than the sum of its proper divisors (67771951).

106289937 is a wasteful number, since it uses less digits than its factorization.

106289937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 106289937 is about 10309.7011110895. The cubic root of 106289937 is about 473.6934539853.

The spelling of 106289937 in words is "one hundred six million, two hundred eighty-nine thousand, nine hundred thirty-seven".