106016311455 has 48 divisors (see below), whose sum is σ = 184590070560. Its totient is φ = 51777589248.

The previous prime is 106016311441. The next prime is 106016311463. The reversal of 106016311455 is 554113610601.

It is not a de Polignac number, because 106016311455 - 2⁶ = 106016311391 is a prime.

It is a super-2 number, since 2×106016311455² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 197251 + ... + 500939.

It is an arithmetic number, because the mean of its divisors is an integer number (3845626470).

Almost surely, 2^106016311455 is an apocalyptic number.

106016311455 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106016311455 is a deficient number, since it is larger than the sum of its proper divisors (78573759105).

106016311455 is a wasteful number, since it uses less digits than its factorization.

106016311455 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303788 (or 303751 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 106016311455 in words is "one hundred six billion, sixteen million, three hundred eleven thousand, four hundred fifty-five".