105414544100 has 36 divisors (see below), whose sum is σ = 240789015600. Its totient is φ = 39946563360.

The previous prime is 105414544097. The next prime is 105414544217. The reversal of 105414544100 is 1445414501.

It is a super-2 number, since 2×105414544100² (a number of 23 digits) contains 22 as substring.

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, 27738770 + ... + 27742569.

Almost surely, 2^105414544100 is an apocalyptic number.

105414544100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105414544100 is an abundant number, since it is smaller than the sum of its proper divisors (135374471500).

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

105414544100 is a wasteful number, since it uses less digits than its factorization.

105414544100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55481372 (or 55481365 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

Adding to 105414544100 its reverse (1445414501), we get a palindrome (106859958601).

The spelling of 105414544100 in words is "one hundred five billion, four hundred fourteen million, five hundred forty-four thousand, one hundred".