10634883072 has 416 divisors, whose sum is σ = 33686634240. Its totient is φ = 2949120000.

The previous prime is 10634883047. The next prime is 10634883097. The reversal of 10634883072 is 27038843601.

It is an interprime number because it is at equal distance from previous prime (10634883047) and next prime (10634883097).

It is a super-2 number, since 2×10634883072² (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 31 ways as a sum of consecutive naturals, for example, 105295822 + ... + 105295922.

Almost surely, 2^10634883072 is an apocalyptic number.

10634883072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10634883072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16843317120).

10634883072 is an abundant number, since it is smaller than the sum of its proper divisors (23051751168).

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

10634883072 is a wasteful number, since it uses less digits than its factorization.

10634883072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 42.

It can be divided in two parts, 106348 and 83072, that added together give a triangular number (189420 = T₆₁₅).

The spelling of 10634883072 in words is "ten billion, six hundred thirty-four million, eight hundred eighty-three thousand, seventy-two".