1021007106 has 80 divisors (see below), whose sum is σ = 2621963520. Its totient is φ = 290900160.

The previous prime is 1021007101. The next prime is 1021007149. The reversal of 1021007106 is 6017001201.

1021007106 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 (18).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1021007101) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 487710 + ... + 489798.

It is an arithmetic number, because the mean of its divisors is an integer number (32774544).

Almost surely, 2^1021007106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1021007106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1310981760).

1021007106 is an abundant number, since it is smaller than the sum of its proper divisors (1600956414).

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

1021007106 is a wasteful number, since it uses less digits than its factorization.

1021007106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2541 (or 2532 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1021007106 is about 31953.2018113991. The cubic root of 1021007106 is about 1006.9538998542.

Adding to 1021007106 its reverse (6017001201), we get a palindrome (7038008307).

The spelling of 1021007106 in words is "one billion, twenty-one million, seven thousand, one hundred six".