105033046632 has 16 divisors (see below), whose sum is σ = 262582616640. Its totient is φ = 35011015536.

The previous prime is 105033046627. The next prime is 105033046637. The reversal of 105033046632 is 236640330501.

It is an interprime number because it is at equal distance from previous prime (105033046627) and next prime (105033046637).

It is a super-2 number, since 2×105033046632² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105033046593 and 105033046602.

It is not an unprimeable number, because it can be changed into a prime (105033046637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2188188448 + ... + 2188188495.

It is an arithmetic number, because the mean of its divisors is an integer number (16411413540).

Almost surely, 2^105033046632 is an apocalyptic number.

105033046632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105033046632 is an abundant number, since it is smaller than the sum of its proper divisors (157549570008).

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

105033046632 is a wasteful number, since it uses less digits than its factorization.

105033046632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376376952 (or 4376376948 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 33.

The spelling of 105033046632 in words is "one hundred five billion, thirty-three million, forty-six thousand, six hundred thirty-two".