106006056056001 has 24 divisors (see below), whose sum is σ = 154031371065000. Its totient is φ = 70251176282112.

The previous prime is 106006056055997. The next prime is 106006056056041. The reversal of 106006056056001 is 100650650600601.

It can be written as a sum of positive squares in 4 ways, for example, as 4576180918401 + 101429875137600 = 2139201^2 + 10071240^2 .

It is not a de Polignac number, because 106006056056001 - 2² = 106006056055997 is a prime.

It is a super-2 number, since 2×106006056056001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106006056056041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47672506 + ... + 49846563.

It is an arithmetic number, because the mean of its divisors is an integer number (6417973794375).

Almost surely, 2^{106006056056001} is an apocalyptic number.

It is an amenable number.

106006056056001 is a deficient number, since it is larger than the sum of its proper divisors (48025315008999).

106006056056001 is a wasteful number, since it uses less digits than its factorization.

106006056056001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97519793 (or 97519790 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106006056056001 in words is "one hundred six trillion, six billion, fifty-six million, fifty-six thousand, one".