1072106253 has 16 divisors (see below), whose sum is σ = 1627046400. Its totient is φ = 697304160.

The previous prime is 1072106209. The next prime is 1072106261. The reversal of 1072106253 is 3526012701.

It is a happy number.

1072106253 is a `hidden beast` number, since 10 + 7 + 21 + 0 + 625 + 3 = 666.

It is not a de Polignac number, because 1072106253 - 2¹⁷ = 1071975181 is a prime.

It is a super-2 number, since 2×1072106253² = 2298823635443400018, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1072106353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483133 + ... + 485346.

It is an arithmetic number, because the mean of its divisors is an integer number (101690400).

Almost surely, 2^1072106253 is an apocalyptic number.

It is an amenable number.

1072106253 is a deficient number, since it is larger than the sum of its proper divisors (554940147).

1072106253 is an equidigital number, since it uses as much as digits as its factorization.

1072106253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968529 (or 968523 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1072106253 is about 32743.0336560313. The cubic root of 1072106253 is about 1023.4798017624.

Adding to 1072106253 its reverse (3526012701), we get a palindrome (4598118954).

The spelling of 1072106253 in words is "one billion, seventy-two million, one hundred six thousand, two hundred fifty-three".