1026105400 has 96 divisors (see below), whose sum is σ = 2445245280. Its totient is φ = 400320000.

The previous prime is 1026105383. The next prime is 1026105407. The reversal of 1026105400 is 45016201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1026105407) 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, 1841922 + ... + 1842478.

It is an arithmetic number, because the mean of its divisors is an integer number (25471305).

Almost surely, 2^1026105400 is an apocalyptic number.

1026105400 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 1026105400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1222622640).

1026105400 is an abundant number, since it is smaller than the sum of its proper divisors (1419139880).

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

1026105400 is a wasteful number, since it uses less digits than its factorization.

1026105400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 785 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 1026105400 is about 32032.8799829176. The cubic root of 1026105400 is about 1008.6271581093.

The spelling of 1026105400 in words is "one billion, twenty-six million, one hundred five thousand, four hundred".