10015011006 has 128 divisors (see below), whose sum is σ = 27117683712. Its totient is φ = 2401027200.

The previous prime is 10015010987. The next prime is 10015011007. The reversal of 10015011006 is 60011051001.

It is a super-2 number, since 2×10015011006² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10015011007) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719836 + ... + 733616.

It is an arithmetic number, because the mean of its divisors is an integer number (211856904).

Almost surely, 2^10015011006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10015011006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13558841856).

10015011006 is an abundant number, since it is smaller than the sum of its proper divisors (17102672706).

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

10015011006 is a wasteful number, since it uses less digits than its factorization.

10015011006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13839 (or 13817 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 15.

Adding to 10015011006 its reverse (60011051001), we get a palindrome (70026062007).

It can be divided in two parts, 100150 and 11006, that added together give a triangular number (111156 = T₄₇₁).

The spelling of 10015011006 in words is "ten billion, fifteen million, eleven thousand, six".