10830078666900 has 90 divisors (see below), whose sum is σ = 35106836514750. Its totient is φ = 2888020975680.

The previous prime is 10830078666893. The next prime is 10830078666961. The reversal of 10830078666900 is 966687003801.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3836952286596 + 6993126380304 = 1958814^2 + 2644452^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-2 number, since 2×10830078666900² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 668515275 + ... + 668531474.

It is an arithmetic number, because the mean of its divisors is an integer number (390075961275).

Almost surely, 2^{10830078666900} is an apocalyptic number.

10830078666900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10830078666900 is an abundant number, since it is smaller than the sum of its proper divisors (24276757847850).

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

10830078666900 is a wasteful number, since it uses less digits than its factorization.

10830078666900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337046775 (or 1337046759 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 10830078666900 in words is "ten trillion, eight hundred thirty billion, seventy-eight million, six hundred sixty-six thousand, nine hundred".