106151543054631 has 32 divisors (see below), whose sum is σ = 157354082174400. Its totient is φ = 70726061813760.

The previous prime is 106151543054617. The next prime is 106151543054657. The reversal of 106151543054631 is 136450345151601.

106151543054631 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 1 + 5 + 4 + 3 + 0 + 5 + 4 + 631 = 666.

It is not a de Polignac number, because 106151543054631 - 2¹⁸ = 106151542792487 is a prime.

It is a super-2 number, since 2×106151543054631² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106151543054681) 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 31 ways as a sum of consecutive naturals, for example, 498470605 + ... + 498683513.

It is an arithmetic number, because the mean of its divisors is an integer number (4917315067950).

Almost surely, 2^{106151543054631} is an apocalyptic number.

106151543054631 is a deficient number, since it is larger than the sum of its proper divisors (51202539119769).

106151543054631 is a wasteful number, since it uses less digits than its factorization.

106151543054631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223696 (or 223690 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 106151543054631 in words is "one hundred six trillion, one hundred fifty-one billion, five hundred forty-three million, fifty-four thousand, six hundred thirty-one".