106016306031 has 8 divisors (see below), whose sum is σ = 157061194160. Its totient is φ = 70677537336.

The previous prime is 106016306029. The next prime is 106016306041. The reversal of 106016306031 is 130603610601.

It is a happy number.

106016306031 is a `hidden beast` number, since 10 + 6 + 0 + 16 + 30 + 603 + 1 = 666.

It is not a de Polignac number, because 106016306031 - 2¹ = 106016306029 is a prime.

It is a super-2 number, since 2×106016306031² (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), and also a Moran number because the ratio is a prime number: 3926529853 = 106016306031 / (1 + 0 + 6 + 0 + 1 + 6 + 3 + 0 + 6 + 0 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106016305986 and 106016306004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106016306021) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1963264900 + ... + 1963264953.

It is an arithmetic number, because the mean of its divisors is an integer number (19632649270).

Almost surely, 2^106016306031 is an apocalyptic number.

106016306031 is a deficient number, since it is larger than the sum of its proper divisors (51044888129).

106016306031 is an equidigital number, since it uses as much as digits as its factorization.

106016306031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3926529862 (or 3926529856 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 106016306031 its reverse (130603610601), we get a palindrome (236619916632).

The spelling of 106016306031 in words is "one hundred six billion, sixteen million, three hundred six thousand, thirty-one".