10418111844100 has 27 divisors (see below), whose sum is σ = 22607372743221. Its totient is φ = 4167231826800.

The previous prime is 10418111844083. The next prime is 10418111844103. The reversal of 10418111844100 is 144811181401.

The square root of 10418111844100 is 3227710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3750520263876 + 6667591580224 = 1936626^2 + 2582168^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10418111844103) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 32115715 + ... + 32438485.

Almost surely, 2^{10418111844100} is an apocalyptic number.

10418111844100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10418111844100 is the 3227710-th square number.

It is an amenable number.

10418111844100 is an abundant number, since it is smaller than the sum of its proper divisors (12189260899121).

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

10418111844100 is an frugal number, since it uses more digits than its factorization.

10418111844100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645556 (or 322778 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 34.

The spelling of 10418111844100 in words is "ten trillion, four hundred eighteen billion, one hundred eleven million, eight hundred forty-four thousand, one hundred".