1026051036100 has 72 divisors (see below), whose sum is σ = 2358627116328. Its totient is φ = 386093875200.

The previous prime is 1026051036079. The next prime is 1026051036167. The reversal of 1026051036100 is 16301506201.

It can be written as a sum of positive squares in 12 ways, for example, as 687068578816 + 338982457284 = 828896^2 + 582222^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3449280 + ... + 3734920.

It is an arithmetic number, because the mean of its divisors is an integer number (32758709949).

Almost surely, 2^{1026051036100} is an apocalyptic number.

1026051036100 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 1026051036100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179313558164).

1026051036100 is an abundant number, since it is smaller than the sum of its proper divisors (1332576080228).

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

1026051036100 is a wasteful number, since it uses less digits than its factorization.

1026051036100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287785 (or 287778 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 1026051036100 in words is "one trillion, twenty-six billion, fifty-one million, thirty-six thousand, one hundred".