10134909960 has 128 divisors (see below), whose sum is σ = 34783257600. Its totient is φ = 2314218240.

The previous prime is 10134909931. The next prime is 10134909989. The reversal of 10134909960 is 6990943101.

It is an interprime number because it is at equal distance from previous prime (10134909931) and next prime (10134909989).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 910911 + ... + 921969.

It is an arithmetic number, because the mean of its divisors is an integer number (271744200).

Almost surely, 2^10134909960 is an apocalyptic number.

10134909960 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 10134909960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17391628800).

10134909960 is an abundant number, since it is smaller than the sum of its proper divisors (24648347640).

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

10134909960 is a wasteful number, since it uses less digits than its factorization.

10134909960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12171 (or 12167 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The spelling of 10134909960 in words is "ten billion, one hundred thirty-four million, nine hundred nine thousand, nine hundred sixty".