1057052106 has 40 divisors (see below), whose sum is σ = 2583909504. Its totient is φ = 320318280.

The previous prime is 1057052089. The next prime is 1057052123. The reversal of 1057052106 is 6012507501.

1057052106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1057052089) and next prime (1057052123).

It is a super-2 number, since 2×1057052106² = 2234718309598070472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 1057052106.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 294810 + ... + 298373.

Almost surely, 2^1057052106 is an apocalyptic number.

1057052106 is an abundant number, since it is smaller than the sum of its proper divisors (1526857398).

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

1057052106 is a wasteful number, since it uses less digits than its factorization.

1057052106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593208 (or 593199 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 1057052106 is about 32512.3377504602. The cubic root of 1057052106 is about 1018.6667528750. Note that the first 3 decimals are identical.

Adding to 1057052106 its reverse (6012507501), we get a palindrome (7069559607).

The spelling of 1057052106 in words is "one billion, fifty-seven million, fifty-two thousand, one hundred six".