10505551104 has 108 divisors (see below), whose sum is σ = 30378252996. Its totient is φ = 3491659776.

The previous prime is 10505551099. The next prime is 10505551109. The reversal of 10505551104 is 40115550501.

10505551104 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 5 + 551 + 104 = 666.

It is an interprime number because it is at equal distance from previous prime (10505551099) and next prime (10505551109).

It can be written as a sum of positive squares in 2 ways, for example, as 5005845504 + 5499705600 = 70752^2 + 74160^2 .

It is a super-2 number, since 2×10505551104² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10505551109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 806854 + ... + 819770.

Almost surely, 2^10505551104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10505551104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15189126498).

10505551104 is an abundant number, since it is smaller than the sum of its proper divisors (19872701892).

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

10505551104 is a wasteful number, since it uses less digits than its factorization.

10505551104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13292 (or 13275 counting only the distinct ones).

The product of its (nonzero) digits is 2500, while the sum is 27.

The spelling of 10505551104 in words is "ten billion, five hundred five million, five hundred fifty-one thousand, one hundred four".