105353501100 has 72 divisors (see below), whose sum is σ = 305020425360. Its totient is φ = 28076052480.

The previous prime is 105353501089. The next prime is 105353501111. The reversal of 105353501100 is 1105353501.

It is an interprime number because it is at equal distance from previous prime (105353501089) and next prime (105353501111).

It is a super-2 number, since 2×105353501100² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352836 + ... + 578964.

Almost surely, 2^105353501100 is an apocalyptic number.

105353501100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105353501100 is an abundant number, since it is smaller than the sum of its proper divisors (199666924260).

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

105353501100 is a wasteful number, since it uses less digits than its factorization.

105353501100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227699 (or 227692 counting only the distinct ones).

The product of its (nonzero) digits is 1125, while the sum is 24.

Adding to 105353501100 its reverse (1105353501), we get a palindrome (106458854601).

The spelling of 105353501100 in words is "one hundred five billion, three hundred fifty-three million, five hundred one thousand, one hundred".