105010666002 has 256 divisors, whose sum is σ = 273441484800. Its totient is φ = 29536980480.

The previous prime is 105010665997. The next prime is 105010666087. The reversal of 105010666002 is 200666010501.

It is a happy number.

It is a super-2 number, since 2×105010666002² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 162303643 + ... + 162304289.

It is an arithmetic number, because the mean of its divisors is an integer number (1068130800).

Almost surely, 2^105010666002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105010666002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136720742400).

105010666002 is an abundant number, since it is smaller than the sum of its proper divisors (168430818798).

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

105010666002 is a wasteful number, since it uses less digits than its factorization.

105010666002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 952 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 105010666002 its reverse (200666010501), we get a palindrome (305676676503).

The spelling of 105010666002 in words is "one hundred five billion, ten million, six hundred sixty-six thousand, two".