106055510031 has 16 divisors (see below), whose sum is σ = 165388710400. Its totient is φ = 66982427064.

The previous prime is 106055510023. The next prime is 106055510047. The reversal of 106055510031 is 130015550601.

106055510031 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 555 + 100 + 3 + 1 = 666.

It is not a de Polignac number, because 106055510031 - 2³ = 106055510023 is a prime.

It is a super-2 number, since 2×106055510031² (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 Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106055509977 and 106055510004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106055515031) 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 15 ways as a sum of consecutive naturals, for example, 103367431 + ... + 103368456.

It is an arithmetic number, because the mean of its divisors is an integer number (10336794400).

Almost surely, 2^106055510031 is an apocalyptic number.

106055510031 is a deficient number, since it is larger than the sum of its proper divisors (59333200369).

106055510031 is a wasteful number, since it uses less digits than its factorization.

106055510031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206735915 (or 206735909 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 106055510031 in words is "one hundred six billion, fifty-five million, five hundred ten thousand, thirty-one".