105005010032 has 40 divisors (see below), whose sum is σ = 231985058256. Its totient is φ = 45613034496.

The previous prime is 105005010023. The next prime is 105005010073. The reversal of 105005010032 is 230010500501.

It is a super-2 number, since 2×105005010032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14844458 + ... + 14851529.

Almost surely, 2^105005010032 is an apocalyptic number.

It is an amenable number.

105005010032 is an abundant number, since it is smaller than the sum of its proper divisors (126980048224).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105005010032 is a wasteful number, since it uses less digits than its factorization.

105005010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29696025 (or 29696019 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

Adding to 105005010032 its reverse (230010500501), we get a palindrome (335015510533).

The spelling of 105005010032 in words is "one hundred five billion, five million, ten thousand, thirty-two".