106616156049 has 24 divisors (see below), whose sum is σ = 166535561192. Its totient is φ = 65337684480.

The previous prime is 106616156041. The next prime is 106616156069. The reversal of 106616156049 is 940651616601.

106616156049 is a `hidden beast` number, since 10 + 6 + 6 + 16 + 15 + 604 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1989784449 + 104626371600 = 44607^2 + 323460^2 .

It is not a de Polignac number, because 106616156049 - 2³ = 106616156041 is a prime.

It is a super-2 number, since 2×106616156049² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106616155995 and 106616156013.

It is not an unprimeable number, because it can be changed into a prime (106616156041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1862362 + ... + 1918755.

Almost surely, 2^106616156049 is an apocalyptic number.

It is an amenable number.

106616156049 is a deficient number, since it is larger than the sum of its proper divisors (59919405143).

106616156049 is a wasteful number, since it uses less digits than its factorization.

106616156049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781377 (or 3781374 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 106616156049 in words is "one hundred six billion, six hundred sixteen million, one hundred fifty-six thousand, forty-nine".