10001046000 has 160 divisors (see below), whose sum is σ = 35174820096. Its totient is φ = 2424480000.

The previous prime is 10001045987. The next prime is 10001046031. The reversal of 10001046000 is 64010001.

10001046000 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-3 number, since 3×10001046000³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 9766 + ... + 141765.

Almost surely, 2^10001046000 is an apocalyptic number.

10001046000 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 10001046000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587410048).

10001046000 is an abundant number, since it is smaller than the sum of its proper divisors (25173774096).

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

10001046000 is a wasteful number, since it uses less digits than its factorization.

10001046000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151568 (or 151552 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10001046000 its reverse (64010001), we get a palindrome (10065056001).

The spelling of 10001046000 in words is "ten billion, one million, forty-six thousand".