105340032100 has 36 divisors (see below), whose sum is σ = 236470216500. Its totient is φ = 40683045760.

The previous prime is 105340032097. The next prime is 105340032137. The reversal of 105340032100 is 1230043501.

It can be written as a sum of positive squares in 6 ways, for example, as 3436069924 + 101903962176 = 58618^2 + 319224^2 .

It is a super-3 number, since 3×105340032100³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18159175 + ... + 18164974.

It is an arithmetic number, because the mean of its divisors is an integer number (6568617125).

Almost surely, 2^105340032100 is an apocalyptic number.

105340032100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105340032100 is an abundant number, since it is smaller than the sum of its proper divisors (131130184400).

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

105340032100 is a wasteful number, since it uses less digits than its factorization.

105340032100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36324192 (or 36324185 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

Adding to 105340032100 its reverse (1230043501), we get a palindrome (106570075601).

The spelling of 105340032100 in words is "one hundred five billion, three hundred forty million, thirty-two thousand, one hundred".