10610501000 has 128 divisors (see below), whose sum is σ = 27546480000. Its totient is φ = 3792736000.

The previous prime is 10610500997. The next prime is 10610501039. The reversal of 10610501000 is 10501601.

10610501000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10610501000² (a number of 21 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 640826 + ... + 657174.

It is an arithmetic number, because the mean of its divisors is an integer number (215206875).

Almost surely, 2^10610501000 is an apocalyptic number.

10610501000 is a gapful number since it is divisible by the number (10) 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 10610501000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13773240000).

10610501000 is an abundant number, since it is smaller than the sum of its proper divisors (16935979000).

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

10610501000 is a wasteful number, since it uses less digits than its factorization.

10610501000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16440 (or 16426 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

The spelling of 10610501000 in words is "ten billion, six hundred ten million, five hundred one thousand".