106567520631 has 24 divisors (see below), whose sum is σ = 168195577200. Its totient is φ = 59618190720.

The previous prime is 106567520629. The next prime is 106567520641. The reversal of 106567520631 is 136025765601.

It is not a de Polignac number, because 106567520631 - 2¹ = 106567520629 is a prime.

It is a super-2 number, since 2×106567520631² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106567520641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11286606 + ... + 11296043.

It is an arithmetic number, because the mean of its divisors is an integer number (7008149050).

Almost surely, 2^106567520631 is an apocalyptic number.

106567520631 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106567520631 is a deficient number, since it is larger than the sum of its proper divisors (61628056569).

106567520631 is a wasteful number, since it uses less digits than its factorization.

106567520631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22582687 (or 22582676 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 42.

The spelling of 106567520631 in words is "one hundred six billion, five hundred sixty-seven million, five hundred twenty thousand, six hundred thirty-one".