105006010512 has 40 divisors (see below), whose sum is σ = 292132107904. Its totient is φ = 32309541504.

The previous prime is 105006010511. The next prime is 105006010541. The reversal of 105006010512 is 215010600501.

It is a super-2 number, since 2×105006010512² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105006010511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84138808 + ... + 84140055.

Almost surely, 2^105006010512 is an apocalyptic number.

105006010512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105006010512 is an abundant number, since it is smaller than the sum of its proper divisors (187126097392).

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

105006010512 is a wasteful number, since it uses less digits than its factorization.

105006010512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168278887 (or 168278881 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The spelling of 105006010512 in words is "one hundred five billion, six million, ten thousand, five hundred twelve".