105010066512 has 240 divisors, whose sum is σ = 338082767568. Its totient is φ = 30140006400.

The previous prime is 105010066487. The next prime is 105010066519. The reversal of 105010066512 is 215660010501.

It is a happy number.

105010066512 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 1 + 0 + 0 + 6 + 651 + 2 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 21387307536 + 83622758976 = 146244^2 + 289176^2 .

It is a super-2 number, since 2×105010066512² (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 (105010066519) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3581512 + ... + 3610712.

Almost surely, 2^105010066512 is an apocalyptic number.

105010066512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105010066512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169041383784).

105010066512 is an abundant number, since it is smaller than the sum of its proper divisors (233072701056).

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

105010066512 is a wasteful number, since it uses less digits than its factorization.

105010066512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29358 (or 29349 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 105010066512 in words is "one hundred five billion, ten million, sixty-six thousand, five hundred twelve".