1006101516 has 72 divisors (see below), whose sum is σ = 2739272256. Its totient is φ = 286571040.

The previous prime is 1006101511. The next prime is 1006101527. The reversal of 1006101516 is 6151016001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1006101492 and 1006101501.

It is not an unprimeable number, because it can be changed into a prime (1006101511) 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, 201571 + ... + 206501.

It is an arithmetic number, because the mean of its divisors is an integer number (38045448).

Almost surely, 2^1006101516 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 1006101516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1369636128).

1006101516 is an abundant number, since it is smaller than the sum of its proper divisors (1733170740).

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

1006101516 is a wasteful number, since it uses less digits than its factorization.

1006101516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5299 (or 5290 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 1006101516 is about 31719.1033290665. The cubic root of 1006101516 is about 1002.0297161318.

Adding to 1006101516 its reverse (6151016001), we get a palindrome (7157117517).

The spelling of 1006101516 in words is "one billion, six million, one hundred one thousand, five hundred sixteen".