106056111050001 has 80 divisors (see below), whose sum is σ = 190629443727360. Its totient is φ = 57402518508000.

The previous prime is 106056111049957. The next prime is 106056111050161. The reversal of 106056111050001 is 100050111650601.

106056111050001 is a `hidden beast` number, since 1 + 0 + 605 + 6 + 1 + 1 + 1 + 0 + 50 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 106056111050001 - 2⁶ = 106056111049937 is a prime.

It is a super-2 number, since 2×106056111050001² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106056111040001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53834626 + ... + 55769876.

It is an arithmetic number, because the mean of its divisors is an integer number (2382868046592).

Almost surely, 2^{106056111050001} is an apocalyptic number.

It is an amenable number.

106056111050001 is a deficient number, since it is larger than the sum of its proper divisors (84573332677359).

106056111050001 is a wasteful number, since it uses less digits than its factorization.

106056111050001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940376 (or 1940367 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 106056111050001 in words is "one hundred six trillion, fifty-six billion, one hundred eleven million, fifty thousand, one".