1026116100 has 108 divisors (see below), whose sum is σ = 3335505264. Its totient is φ = 273624480.

The previous prime is 1026116087. The next prime is 1026116131. The reversal of 1026116100 is 16116201.

1026116100 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3187 + ... + 45413.

It is an arithmetic number, because the mean of its divisors is an integer number (30884308).

Almost surely, 2^1026116100 is an apocalyptic number.

1026116100 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 1026116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667752632).

1026116100 is an abundant number, since it is smaller than the sum of its proper divisors (2309389164).

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

1026116100 is a wasteful number, since it uses less digits than its factorization.

1026116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42256 (or 42237 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 1026116100 is about 32033.0469983734. The cubic root of 1026116100 is about 1008.6306640107.

The spelling of 1026116100 in words is "one billion, twenty-six million, one hundred sixteen thousand, one hundred".