105532101129 has 64 divisors (see below), whose sum is σ = 183408390144. Its totient is φ = 52450142976.

The previous prime is 105532101127. The next prime is 105532101131. The reversal of 105532101129 is 921101235501.

It is an interprime number because it is at equal distance from previous prime (105532101127) and next prime (105532101131).

It is not a de Polignac number, because 105532101129 - 2¹ = 105532101127 is a prime.

It is a super-2 number, since 2×105532101129² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105532101096 and 105532101105.

It is not an unprimeable number, because it can be changed into a prime (105532101127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 295267 + ... + 546119.

It is an arithmetic number, because the mean of its divisors is an integer number (2865756096).

Almost surely, 2^105532101129 is an apocalyptic number.

It is an amenable number.

105532101129 is a deficient number, since it is larger than the sum of its proper divisors (77876289015).

105532101129 is a wasteful number, since it uses less digits than its factorization.

105532101129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250966.

The product of its (nonzero) digits is 2700, while the sum is 30.

The spelling of 105532101129 in words is "one hundred five billion, five hundred thirty-two million, one hundred one thousand, one hundred twenty-nine".