1026840100 has 72 divisors (see below), whose sum is σ = 2617832448. Its totient is φ = 344668800.

The previous prime is 1026840097. The next prime is 1026840107. The reversal of 1026840100 is 10486201.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1026840107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21604 + ... + 50203.

It is an arithmetic number, because the mean of its divisors is an integer number (36358784).

Almost surely, 2^1026840100 is an apocalyptic number.

1026840100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1026840100 is an abundant number, since it is smaller than the sum of its proper divisors (1590992348).

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

1026840100 is a wasteful number, since it uses less digits than its factorization.

1026840100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71845 (or 71838 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 1026840100 is about 32044.3458351079. The cubic root of 1026840100 is about 1008.8678291555.

The spelling of 1026840100 in words is "one billion, twenty-six million, eight hundred forty thousand, one hundred".