1105148214500 has 384 divisors, whose sum is σ = 3006462251520. Its totient is φ = 349562880000.

The previous prime is 1105148214497. The next prime is 1105148214503. The reversal of 1105148214500 is 54128415011.

It is an interprime number because it is at equal distance from previous prime (1105148214497) and next prime (1105148214503).

It is not an unprimeable number, because it can be changed into a prime (1105148214503) 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 127 ways as a sum of consecutive naturals, for example, 72828914 + ... + 72844086.

It is an arithmetic number, because the mean of its divisors is an integer number (7829328780).

Almost surely, 2^{1105148214500} is an apocalyptic number.

1105148214500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105148214500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503231125760).

1105148214500 is an abundant number, since it is smaller than the sum of its proper divisors (1901314037020).

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

1105148214500 is a wasteful number, since it uses less digits than its factorization.

1105148214500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15280 (or 15268 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 32.

The spelling of 1105148214500 in words is "one trillion, one hundred five billion, one hundred forty-eight million, two hundred fourteen thousand, five hundred".