1019106816 has 320 divisors, whose sum is σ = 3497776128. Its totient is φ = 256278528.

The previous prime is 1019106797. The next prime is 1019106821. The reversal of 1019106816 is 6186019101.

It is a congruent 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, 3214690 + ... + 3215006.

Almost surely, 2^1019106816 is an apocalyptic number.

1019106816 is a gapful number since it is divisible by the number (16) 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 1019106816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748888064).

1019106816 is an abundant number, since it is smaller than the sum of its proper divisors (2478669312).

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

1019106816 is a wasteful number, since it uses less digits than its factorization.

1019106816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 33.

The square root of 1019106816 is about 31923.4524448719. The cubic root of 1019106816 is about 1006.3288004542.

The spelling of 1019106816 in words is "one billion, nineteen million, one hundred six thousand, eight hundred sixteen".