106263233345601 has 24 divisors (see below), whose sum is σ = 157294073978496. Its totient is φ = 69088343924160.

The previous prime is 106263233345579. The next prime is 106263233345623. The reversal of 106263233345601 is 106543332362601.

106263233345601 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 6 + 3 + 2 + 3 + 3 + 34 + 5 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (106263233345579) and next prime (106263233345623).

It is not a de Polignac number, because 106263233345601 - 2²² = 106263229151297 is a prime.

It is a super-3 number, since 3×106263233345601³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (106263233343601) 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 23 ways as a sum of consecutive naturals, for example, 53087245 + ... + 55052538.

It is an arithmetic number, because the mean of its divisors is an integer number (6553919749104).

Almost surely, 2^{106263233345601} is an apocalyptic number.

It is an amenable number.

106263233345601 is a deficient number, since it is larger than the sum of its proper divisors (51030840632895).

106263233345601 is a wasteful number, since it uses less digits than its factorization.

106263233345601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108142493 (or 108142490 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 45.

The spelling of 106263233345601 in words is "one hundred six trillion, two hundred sixty-three billion, two hundred thirty-three million, three hundred forty-five thousand, six hundred one".