106066105650 has 36 divisors (see below), whose sum is σ = 284964271722. Its totient is φ = 28284294720.

The previous prime is 106066105633. The next prime is 106066105657. The reversal of 106066105650 is 56501660601.

It can be written as a sum of positive squares in 3 ways, for example, as 44835098049 + 61231007601 = 211743^2 + 247449^2 .

It is a super-2 number, since 2×106066105650² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106066105657) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117850779 + ... + 117851678.

Almost surely, 2^106066105650 is an apocalyptic number.

106066105650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106066105650 is an abundant number, since it is smaller than the sum of its proper divisors (178898166072).

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

106066105650 is a wasteful number, since it uses less digits than its factorization.

106066105650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235702475 (or 235702467 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 106066105650 in words is "one hundred six billion, sixty-six million, one hundred five thousand, six hundred fifty".