105031144153 has 8 divisors (see below), whose sum is σ = 115244623368. Its totient is φ = 95122545024.

The previous prime is 105031144147. The next prime is 105031144159. The reversal of 105031144153 is 351441130501.

It is an interprime number because it is at equal distance from previous prime (105031144147) and next prime (105031144159).

It can be written as a sum of positive squares in 4 ways, for example, as 555450624 + 104475693529 = 23568^2 + 323227^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-105031144153 is a prime.

It is a super-2 number, since 2×105031144153² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105031144159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 76219300 + ... + 76220677.

It is an arithmetic number, because the mean of its divisors is an integer number (14405577921).

Almost surely, 2^105031144153 is an apocalyptic number.

105031144153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105031144153 is a deficient number, since it is larger than the sum of its proper divisors (10213479215).

105031144153 is a wasteful number, since it uses less digits than its factorization.

105031144153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152440043.

The product of its (nonzero) digits is 3600, while the sum is 28.

Adding to 105031144153 its reverse (351441130501), we get a palindrome (456472274654).

The spelling of 105031144153 in words is "one hundred five billion, thirty-one million, one hundred forty-four thousand, one hundred fifty-three".