106006401321 has 32 divisors (see below), whose sum is σ = 149675919360. Its totient is φ = 66620522304.

The previous prime is 106006401289. The next prime is 106006401337. The reversal of 106006401321 is 123104600601.

It is not a de Polignac number, because 106006401321 - 2⁵ = 106006401289 is a prime.

It is a super-2 number, since 2×106006401321² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106006401291 and 106006401300.

It is not an unprimeable number, because it can be changed into a prime (106006451321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13938906 + ... + 13946508.

It is an arithmetic number, because the mean of its divisors is an integer number (4677372480).

Almost surely, 2^106006401321 is an apocalyptic number.

It is an amenable number.

106006401321 is a deficient number, since it is larger than the sum of its proper divisors (43669518039).

106006401321 is a wasteful number, since it uses less digits than its factorization.

106006401321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11405.

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 106006401321 in words is "one hundred six billion, six million, four hundred one thousand, three hundred twenty-one".