105005110100 has 36 divisors (see below), whose sum is σ = 248575735968. Its totient is φ = 38183676000.

The previous prime is 105005110099. The next prime is 105005110121. The reversal of 105005110100 is 1011500501.

It is a super-2 number, since 2×105005110100² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 47728496 + ... + 47730695.

Almost surely, 2^105005110100 is an apocalyptic number.

105005110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005110100 is an abundant number, since it is smaller than the sum of its proper divisors (143570625868).

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

105005110100 is a wasteful number, since it uses less digits than its factorization.

105005110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95459216 (or 95459209 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 14.

Adding to 105005110100 its reverse (1011500501), we get a palindrome (106016610601).

The spelling of 105005110100 in words is "one hundred five billion, five million, one hundred ten thousand, one hundred".