105536620131 has 16 divisors (see below), whose sum is σ = 146692881408. Its totient is φ = 67413996000.

The previous prime is 105536620127. The next prime is 105536620153. The reversal of 105536620131 is 131026635501.

It is not a de Polignac number, because 105536620131 - 2² = 105536620127 is a prime.

It is a super-2 number, since 2×105536620131² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105536620092 and 105536620101.

It is not an unprimeable number, because it can be changed into a prime (105536620831) 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, 5608441 + ... + 5627226.

It is an arithmetic number, because the mean of its divisors is an integer number (9168305088).

Almost surely, 2^105536620131 is an apocalyptic number.

105536620131 is a deficient number, since it is larger than the sum of its proper divisors (41156261277).

105536620131 is a wasteful number, since it uses less digits than its factorization.

105536620131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11235802.

The product of its (nonzero) digits is 16200, while the sum is 33.

The spelling of 105536620131 in words is "one hundred five billion, five hundred thirty-six million, six hundred twenty thousand, one hundred thirty-one".