106106520051 has 128 divisors (see below), whose sum is σ = 200973312000. Its totient is φ = 53923387392.

The previous prime is 106106520049. The next prime is 106106520071. The reversal of 106106520051 is 150025601601.

It is a happy number.

106106520051 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 0 + 652 + 0 + 0 + 5 + 1 = 666.

It is not a de Polignac number, because 106106520051 - 2¹ = 106106520049 is a prime.

It is a super-2 number, since 2×106106520051² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 106106519997 and 106106520024.

It is not an unprimeable number, because it can be changed into a prime (106106520071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4367205 + ... + 4391433.

It is an arithmetic number, because the mean of its divisors is an integer number (1570104000).

Almost surely, 2^106106520051 is an apocalyptic number.

106106520051 is a deficient number, since it is larger than the sum of its proper divisors (94866791949).

106106520051 is a wasteful number, since it uses less digits than its factorization.

106106520051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24338 (or 24332 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 106106520051 in words is "one hundred six billion, one hundred six million, five hundred twenty thousand, fifty-one".