106214263461 has 24 divisors (see below), whose sum is σ = 158866813560. Its totient is φ = 68300668800.

The previous prime is 106214263451. The next prime is 106214263487. The reversal of 106214263461 is 164362412601.

106214263461 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 14 + 2 + 634 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 51881450625 + 54332812836 = 227775^2 + 233094^2 .

It is not a de Polignac number, because 106214263461 - 2¹⁴ = 106214247077 is a prime.

It is a super-2 number, since 2×106214263461² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106214263451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67191 + ... + 465771.

It is an arithmetic number, because the mean of its divisors is an integer number (6619450565).

Almost surely, 2^106214263461 is an apocalyptic number.

It is an amenable number.

106214263461 is a deficient number, since it is larger than the sum of its proper divisors (52652550099).

106214263461 is a wasteful number, since it uses less digits than its factorization.

106214263461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399637 (or 399634 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 106214263461 in words is "one hundred six billion, two hundred fourteen million, two hundred sixty-three thousand, four hundred sixty-one".