105106005990 has 48 divisors (see below), whose sum is σ = 273295721088. Its totient is φ = 28026206208.

The previous prime is 105106005971. The next prime is 105106005997. The reversal of 105106005990 is 99500601501.

105106005990 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 0 + 60 + 0 + 599 + 0 = 666.

It is a super-2 number, since 2×105106005990² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105106005997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1488934 + ... + 1557926.

It is an arithmetic number, because the mean of its divisors is an integer number (5693660856).

Almost surely, 2^105106005990 is an apocalyptic number.

105106005990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105106005990 is an abundant number, since it is smaller than the sum of its proper divisors (168189715098).

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

105106005990 is a wasteful number, since it uses less digits than its factorization.

105106005990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85933 (or 85930 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 36.

The spelling of 105106005990 in words is "one hundred five billion, one hundred six million, five thousand, nine hundred ninety".