109019283912900 has 729 divisors, whose sum is σ = 370322162267239. Its totient is φ = 26820429265920.

The previous prime is 109019283912887. The next prime is 109019283912943. The reversal of 109019283912900 is 9219382910901.

The square root of 109019283912900 is 10441230.

It is a perfect power (a square), and thus also a powerful number.

109019283912900 is a `hidden beast` number, since 1 + 0 + 9 + 0 + 192 + 83 + 91 + 290 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2550070447236 + 106469213465664 = 1596894^2 + 10318392^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 314176610527 + ... + 314176610873.

Almost surely, 2^{109019283912900} is an apocalyptic number.

109019283912900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

109019283912900 is the 10441230-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109019283912900

109019283912900 is an abundant number, since it is smaller than the sum of its proper divisors (261302878354339).

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

109019283912900 is a wasteful number, since it uses less digits than its factorization.

109019283912900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 433 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 54.

The spelling of 109019283912900 in words is "one hundred nine trillion, nineteen billion, two hundred eighty-three million, nine hundred twelve thousand, nine hundred".