1026606100 has 144 divisors (see below), whose sum is σ = 2559211200. Its totient is φ = 354309120.

The previous prime is 1026606079. The next prime is 1026606121. The reversal of 1026606100 is 16066201.

It is an interprime number because it is at equal distance from previous prime (1026606079) and next prime (1026606121).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2198067 + ... + 2198533.

It is an arithmetic number, because the mean of its divisors is an integer number (17772300).

Almost surely, 2^1026606100 is an apocalyptic number.

1026606100 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 1026606100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279605600).

1026606100 is an abundant number, since it is smaller than the sum of its proper divisors (1532605100).

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

1026606100 is a wasteful number, since it uses less digits than its factorization.

1026606100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 602 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 1026606100 is about 32040.6944369188. The cubic root of 1026606100 is about 1008.7911885286.

The spelling of 1026606100 in words is "one billion, twenty-six million, six hundred six thousand, one hundred".