106165660050 has 36 divisors (see below), whose sum is σ = 285231741210. Its totient is φ = 28310842560.

The previous prime is 106165660019. The next prime is 106165660079. The reversal of 106165660050 is 50066561601.

It can be written as a sum of positive squares in 3 ways, for example, as 43561116369 + 62604543681 = 208713^2 + 250209^2 .

It is a super-2 number, since 2×106165660050² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106165659987 and 106165660014.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 117961395 + ... + 117962294.

Almost surely, 2^106165660050 is an apocalyptic number.

106165660050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106165660050 is an abundant number, since it is smaller than the sum of its proper divisors (179066081160).

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

106165660050 is a wasteful number, since it uses less digits than its factorization.

106165660050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235923707 (or 235923699 counting only the distinct ones).

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

The spelling of 106165660050 in words is "one hundred six billion, one hundred sixty-five million, six hundred sixty thousand, fifty".