199085516100 has 243 divisors, whose sum is σ = 634473301917. Its totient is φ = 52214938560.

The previous prime is 199085516041. The next prime is 199085516117. The reversal of 199085516100 is 1615580991.

The square root of 199085516100 is 446190.

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

199085516100 is a `hidden beast` number, since 1 + 9 + 90 + 8 + 551 + 6 + 1 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 71670785796 + 127414730304 = 267714^2 + 356952^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1432269831 + ... + 1432269969.

Almost surely, 2^199085516100 is an apocalyptic number.

199085516100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

199085516100 is the 446190-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199085516100

199085516100 is an abundant number, since it is smaller than the sum of its proper divisors (435387785817).

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

199085516100 is a wasteful number, since it uses less digits than its factorization.

199085516100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 45.

The spelling of 199085516100 in words is "one hundred ninety-nine billion, eighty-five million, five hundred sixteen thousand, one hundred".