1106416410 has 64 divisors (see below), whose sum is σ = 2996714880. Its totient is φ = 258970880.

The previous prime is 1106416349. The next prime is 1106416433. The reversal of 1106416410 is 146146011.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48237 + ... + 67376.

It is an arithmetic number, because the mean of its divisors is an integer number (46823670).

Almost surely, 2^1106416410 is an apocalyptic number.

1106416410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1106416410 is an abundant number, since it is smaller than the sum of its proper divisors (1890298470).

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

1106416410 is a wasteful number, since it uses less digits than its factorization.

1106416410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115663.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 1106416410 is about 33262.8382733645. The cubic root of 1106416410 is about 1034.2833565027.

The spelling of 1106416410 in words is "one billion, one hundred six million, four hundred sixteen thousand, four hundred ten".