1054200388100 has 36 divisors (see below), whose sum is σ = 2287659692388. Its totient is φ = 421671888000.

The previous prime is 1054200387997. The next prime is 1054200388103. The reversal of 1054200388100 is 18830024501.

It can be written as a sum of positive squares in 6 ways, for example, as 66021246916 + 988179141184 = 256946^2 + 994072^2 .

It is a super-2 number, since 2×1054200388100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054200388103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9104570 + ... + 9219630.

Almost surely, 2^{1054200388100} is an apocalyptic number.

1054200388100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1054200388100 is an abundant number, since it is smaller than the sum of its proper divisors (1233459304288).

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

1054200388100 is a wasteful number, since it uses less digits than its factorization.

1054200388100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206696 (or 206689 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The spelling of 1054200388100 in words is "one trillion, fifty-four billion, two hundred million, three hundred eighty-eight thousand, one hundred".