105053552131 has 8 divisors (see below), whose sum is σ = 114641972928. Its totient is φ = 95471481000.

The previous prime is 105053552117. The next prime is 105053552143. The reversal of 105053552131 is 131255350501.

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 105053552131 - 2²⁹ = 104516681219 is a prime.

It is a super-2 number, since 2×105053552131² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105053552093 and 105053552102.

It is not an unprimeable number, because it can be changed into a prime (105053552111) 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, 1552785 + ... + 1619026.

It is an arithmetic number, because the mean of its divisors is an integer number (14330246616).

Almost surely, 2^105053552131 is an apocalyptic number.

105053552131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105053552131 is a deficient number, since it is larger than the sum of its proper divisors (9588420797).

105053552131 is a wasteful number, since it uses less digits than its factorization.

105053552131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3174833.

The product of its (nonzero) digits is 11250, while the sum is 31.

The spelling of 105053552131 in words is "one hundred five billion, fifty-three million, five hundred fifty-two thousand, one hundred thirty-one".