105040101033200 has 30 divisors (see below), whose sum is σ = 252358842733224. Its totient is φ = 42016040413120.

The previous prime is 105040101033137. The next prime is 105040101033223. The reversal of 105040101033200 is 2330101040501.

It is a super-2 number, since 2×105040101033200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 131300125892 + ... + 131300126691.

Almost surely, 2^{105040101033200} is an apocalyptic number.

105040101033200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105040101033200 is an abundant number, since it is smaller than the sum of its proper divisors (147318741700024).

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

105040101033200 is a wasteful number, since it uses less digits than its factorization.

105040101033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262600252601 (or 262600252590 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 105040101033200 its reverse (2330101040501), we get a palindrome (107370202073701).

The spelling of 105040101033200 in words is "one hundred five trillion, forty billion, one hundred one million, thirty-three thousand, two hundred".