106263233345646 has 128 divisors (see below), whose sum is σ = 273385182873600. Its totient is φ = 30316463671680.

The previous prime is 106263233345623. The next prime is 106263233345663. The reversal of 106263233345646 is 646543332362601.

106263233345646 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 6 + 3 + 233 + 345 + 64 + 6 = 666.

It is a super-3 number, since 3×106263233345646³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 106263233345592 and 106263233345601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84127945 + ... + 85381716.

It is an arithmetic number, because the mean of its divisors is an integer number (2135821741200).

Almost surely, 2^{106263233345646} is an apocalyptic number.

106263233345646 is an abundant number, since it is smaller than the sum of its proper divisors (167121949527954).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106263233345646 is a wasteful number, since it uses less digits than its factorization.

106263233345646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169509751 (or 169509745 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 54.

The spelling of 106263233345646 in words is "one hundred six trillion, two hundred sixty-three billion, two hundred thirty-three million, three hundred forty-five thousand, six hundred forty-six".