10634503110 has 256 divisors, whose sum is σ = 33841152000. Its totient is φ = 2071872000.

The previous prime is 10634503067. The next prime is 10634503133. The reversal of 10634503110 is 1130543601.

It is a super-2 number, since 2×10634503110² (a number of 21 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 127 ways as a sum of consecutive naturals, for example, 4431691 + ... + 4434089.

It is an arithmetic number, because the mean of its divisors is an integer number (132192000).

Almost surely, 2^10634503110 is an apocalyptic number.

10634503110 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 10634503110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16920576000).

10634503110 is an abundant number, since it is smaller than the sum of its proper divisors (23206648890).

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

10634503110 is a wasteful number, since it uses less digits than its factorization.

10634503110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547.

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 10634503110 in words is "ten billion, six hundred thirty-four million, five hundred three thousand, one hundred ten".