105006105510 has 96 divisors (see below), whose sum is σ = 261924092640. Its totient is φ = 26910191616.

The previous prime is 105006105497. The next prime is 105006105521. The reversal of 105006105510 is 15501600501.

It is a super-2 number, since 2×105006105510² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49694214 + ... + 49696326.

It is an arithmetic number, because the mean of its divisors is an integer number (2728375965).

Almost surely, 2^105006105510 is an apocalyptic number.

105006105510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105006105510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130962046320).

105006105510 is an abundant number, since it is smaller than the sum of its proper divisors (156917987130).

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

105006105510 is a wasteful number, since it uses less digits than its factorization.

105006105510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2630 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 105006105510 in words is "one hundred five billion, six million, one hundred five thousand, five hundred ten".