198957101 has 24 divisors (see below), whose sum is σ = 240374016. Its totient is φ = 164021760.

The previous prime is 198957091. The next prime is 198957221. The reversal of 198957101 is 101759891.

It is not a de Polignac number, because 198957101 - 2²² = 194762797 is a prime.

It is a hoax number, since the sum of its digits (41) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198957401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 344525 + ... + 345101.

It is an arithmetic number, because the mean of its divisors is an integer number (10015584).

Almost surely, 2^198957101 is an apocalyptic number.

It is an amenable number.

198957101 is a deficient number, since it is larger than the sum of its proper divisors (41416915).

198957101 is a wasteful number, since it uses less digits than its factorization.

198957101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 41.

The square root of 198957101 is about 14105.2153829709. The cubic root of 198957101 is about 583.7852906292.

The spelling of 198957101 in words is "one hundred ninety-eight million, nine hundred fifty-seven thousand, one hundred one".