106252972753 has 4 divisors (see below), whose sum is σ = 107749493568. Its totient is φ = 104756451940.

The previous prime is 106252972751. The next prime is 106252972769. The reversal of 106252972753 is 357279252601.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 106252972753 - 2¹ = 106252972751 is a prime.

It is a super-2 number, since 2×106252972753² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106252972697 and 106252972706.

It is not an unprimeable number, because it can be changed into a prime (106252972751) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 748260301 + ... + 748260442.

It is an arithmetic number, because the mean of its divisors is an integer number (26937373392).

Almost surely, 2^106252972753 is an apocalyptic number.

It is an amenable number.

106252972753 is a deficient number, since it is larger than the sum of its proper divisors (1496520815).

106252972753 is an equidigital number, since it uses as much as digits as its factorization.

106252972753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496520814.

The product of its (nonzero) digits is 1587600, while the sum is 49.

The spelling of 106252972753 in words is "one hundred six billion, two hundred fifty-two million, nine hundred seventy-two thousand, seven hundred fifty-three".