106112663223553 has 32 divisors (see below), whose sum is σ = 124370519067648. Its totient is φ = 88646488128000.

The previous prime is 106112663223529. The next prime is 106112663223559. The reversal of 106112663223553 is 355322366211601.

It is a cyclic number.

It is not a de Polignac number, because 106112663223553 - 2¹⁷ = 106112663092481 is a prime.

It is a super-2 number, since 2×106112663223553² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106112663223559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77822523 + ... + 79174303.

It is an arithmetic number, because the mean of its divisors is an integer number (3886578720864).

Almost surely, 2^{106112663223553} is an apocalyptic number.

It is an amenable number.

106112663223553 is a deficient number, since it is larger than the sum of its proper divisors (18257855844095).

106112663223553 is a wasteful number, since it uses less digits than its factorization.

106112663223553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1352833.

The product of its (nonzero) digits is 1166400, while the sum is 46.

The spelling of 106112663223553 in words is "one hundred six trillion, one hundred twelve billion, six hundred sixty-three million, two hundred twenty-three thousand, five hundred fifty-three".