10165001004 has 72 divisors (see below), whose sum is σ = 26636806560. Its totient is φ = 3264613632.

The previous prime is 10165001003. The next prime is 10165001017. The reversal of 10165001004 is 40010056101.

10165001004 is a `hidden beast` number, since 1 + 0 + 1 + 650 + 0 + 10 + 0 + 4 = 666.

It is a super-2 number, since 2×10165001004² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10165001003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 498432 + ... + 518424.

Almost surely, 2^10165001004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10165001004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13318403280).

10165001004 is an abundant number, since it is smaller than the sum of its proper divisors (16471805556).

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

10165001004 is a wasteful number, since it uses less digits than its factorization.

10165001004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20519 (or 20514 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10165001004 its reverse (40010056101), we get a palindrome (50175057105).

The spelling of 10165001004 in words is "ten billion, one hundred sixty-five million, one thousand, four".