106012434325401 has 12 divisors (see below), whose sum is σ = 162136664262612. Its totient is φ = 66517605851136.

The previous prime is 106012434325339. The next prime is 106012434325403. The reversal of 106012434325401 is 104523434210601.

106012434325401 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 243 + 4 + 3 + 2 + 5 + 401 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 40557473825625 + 65454960499776 = 6368475^2 + 8090424^2 .

It is not a de Polignac number, because 106012434325401 - 2²¹ = 106012432228249 is a prime.

It is a super-2 number, since 2×106012434325401² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106012434325403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 346445863656 + ... + 346445863961.

It is an arithmetic number, because the mean of its divisors is an integer number (13511388688551).

Almost surely, 2^{106012434325401} is an apocalyptic number.

It is an amenable number.

106012434325401 is a deficient number, since it is larger than the sum of its proper divisors (56124229937211).

106012434325401 is a wasteful number, since it uses less digits than its factorization.

106012434325401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 692891727640 (or 692891727637 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 106012434325401 in words is "one hundred six trillion, twelve billion, four hundred thirty-four million, three hundred twenty-five thousand, four hundred one".