1026018900 has 108 divisors (see below), whose sum is σ = 3335189312. Its totient is φ = 273598560.

The previous prime is 1026018887. The next prime is 1026018913. The reversal of 1026018900 is 98106201.

It is an interprime number because it is at equal distance from previous prime (1026018887) and next prime (1026018913).

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 (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3189 + ... + 45411.

Almost surely, 2^1026018900 is an apocalyptic number.

1026018900 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 1026018900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1667594656).

1026018900 is an abundant number, since it is smaller than the sum of its proper divisors (2309170412).

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

1026018900 is a wasteful number, since it uses less digits than its factorization.

1026018900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42252 (or 42233 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1026018900 is about 32031.5297792659. The cubic root of 1026018900 is about 1008.5988151143.

The spelling of 1026018900 in words is "one billion, twenty-six million, eighteen thousand, nine hundred".