199107090 has 288 divisors, whose sum is σ = 681198336. Its totient is φ = 39916800.

The previous prime is 199107089. The next prime is 199107091. The reversal of 199107090 is 90701991.

It is an interprime number because it is at equal distance from previous prime (199107089) and next prime (199107091).

It is not an unprimeable number, because it can be changed into a prime (199107091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1318515 + ... + 1318665.

It is an arithmetic number, because the mean of its divisors is an integer number (2365272).

Almost surely, 2^199107090 is an apocalyptic number.

199107090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 199107090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340599168).

199107090 is an abundant number, since it is smaller than the sum of its proper divisors (482091246).

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

199107090 is a wasteful number, since it uses less digits than its factorization.

199107090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 5103, while the sum is 36.

The square root of 199107090 is about 14110.5311735597. The cubic root of 199107090 is about 583.9319543694.

It can be divided in two parts, 19910 and 7090, that added together give a cube (27000 = 30³).

The spelling of 199107090 in words is "one hundred ninety-nine million, one hundred seven thousand, ninety".