106117323201 has 6 divisors (see below), whose sum is σ = 153280577970. Its totient is φ = 70744882128.

The previous prime is 106117323197. The next prime is 106117323209. The reversal of 106117323201 is 102323711601.

106117323201 is a `hidden beast` number, since 1 + 0 + 611 + 7 + 3 + 23 + 20 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 98169422400 + 7947900801 = 313320^2 + 89151^2 .

It is not a de Polignac number, because 106117323201 - 2² = 106117323197 is a prime.

It is a super-2 number, since 2×106117323201² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106117323209) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5895406836 + ... + 5895406853.

It is an arithmetic number, because the mean of its divisors is an integer number (25546762995).

Almost surely, 2^106117323201 is an apocalyptic number.

It is an amenable number.

106117323201 is a deficient number, since it is larger than the sum of its proper divisors (47163254769).

106117323201 is a wasteful number, since it uses less digits than its factorization.

106117323201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11790813695 (or 11790813692 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 106117323201 in words is "one hundred six billion, one hundred seventeen million, three hundred twenty-three thousand, two hundred one".