105032435123132 has 48 divisors (see below), whose sum is σ = 200873967493248. Its totient is φ = 47656963005120.

The previous prime is 105032435123117. The next prime is 105032435123167. The reversal of 105032435123132 is 231321534230501.

It is a super-2 number, since 2×105032435123132² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105032435123092 and 105032435123101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62743718 + ... + 64395954.

It is an arithmetic number, because the mean of its divisors is an integer number (4184874322776).

Almost surely, 2^{105032435123132} is an apocalyptic number.

It is an amenable number.

105032435123132 is a deficient number, since it is larger than the sum of its proper divisors (95841532370116).

105032435123132 is a wasteful number, since it uses less digits than its factorization.

105032435123132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1654826 (or 1654824 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

Adding to 105032435123132 its reverse (231321534230501), we get a palindrome (336353969353633).

The spelling of 105032435123132 in words is "one hundred five trillion, thirty-two billion, four hundred thirty-five million, one hundred twenty-three thousand, one hundred thirty-two".