10065100506000 has 160 divisors (see below), whose sum is σ = 32531629473408. Its totient is φ = 2677265395200.

The previous prime is 10065100505951. The next prime is 10065100506007. The reversal of 10065100506000 is 60500156001.

10065100506000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (10065100506007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 269259 + ... + 4494741.

Almost surely, 2^{10065100506000} is an apocalyptic number.

10065100506000 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 10065100506000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16265814736704).

10065100506000 is an abundant number, since it is smaller than the sum of its proper divisors (22466528967408).

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

10065100506000 is a wasteful number, since it uses less digits than its factorization.

10065100506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4225906 (or 4225890 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 10065100506000 in words is "ten trillion, sixty-five billion, one hundred million, five hundred six thousand".