10506142153 has 8 divisors (see below), whose sum is σ = 11396895048. Its totient is φ = 9627187584.

The previous prime is 10506142123. The next prime is 10506142159. The reversal of 10506142153 is 35124160501.

It can be written as a sum of positive squares in 4 ways, for example, as 1471259449 + 9034882704 = 38357^2 + 95052^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 10506142153 - 2²⁵ = 10472587721 is a prime.

It is a super-2 number, since 2×10506142153² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10506142159) 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, 2947726 + ... + 2951287.

It is an arithmetic number, because the mean of its divisors is an integer number (1424611881).

Almost surely, 2^10506142153 is an apocalyptic number.

10506142153 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10506142153 is a deficient number, since it is larger than the sum of its proper divisors (890752895).

10506142153 is a wasteful number, since it uses less digits than its factorization.

10506142153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5899163.

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

The spelling of 10506142153 in words is "ten billion, five hundred six million, one hundred forty-two thousand, one hundred fifty-three".