105006100010 has 64 divisors (see below), whose sum is σ = 220188824064. Its totient is φ = 35306668800.

The previous prime is 105006100009. The next prime is 105006100037. The reversal of 105006100010 is 10001600501.

It is a super-2 number, since 2×105006100010² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10349540 + ... + 10359680.

It is an arithmetic number, because the mean of its divisors is an integer number (3440450376).

Almost surely, 2^105006100010 is an apocalyptic number.

105006100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105006100010 is an abundant number, since it is smaller than the sum of its proper divisors (115182724054).

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

105006100010 is a wasteful number, since it uses less digits than its factorization.

105006100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12999.

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 105006100010 its reverse (10001600501), we get a palindrome (115007700511).

The spelling of 105006100010 in words is "one hundred five billion, six million, one hundred thousand, ten".