1063378638100 has 72 divisors (see below), whose sum is σ = 2400291293400. Its totient is φ = 408414988800.

The previous prime is 1063378638083. The next prime is 1063378638121. The reversal of 1063378638100 is 18368733601.

It can be written as a sum of positive squares in 12 ways, for example, as 506835781776 + 556542856324 = 711924^2 + 746018^2 .

It is a super-2 number, since 2×1063378638100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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, 488035 + ... + 1537834.

It is an arithmetic number, because the mean of its divisors is an integer number (33337379075).

Almost surely, 2^{1063378638100} is an apocalyptic number.

1063378638100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1063378638100 is an abundant number, since it is smaller than the sum of its proper divisors (1336912655300).

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

1063378638100 is a wasteful number, since it uses less digits than its factorization.

1063378638100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026093 (or 2026086 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 46.

The spelling of 1063378638100 in words is "one trillion, sixty-three billion, three hundred seventy-eight million, six hundred thirty-eight thousand, one hundred".