101998253 has 8 divisors (see below), whose sum is σ = 118948800. Its totient is φ = 87426780.

The previous prime is 101998241. The next prime is 101998271. The reversal of 101998253 is 352899101.

It is not a de Polignac number, because 101998253 - 2⁸ = 101997997 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101998753) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148343 + ... + 149028.

It is an arithmetic number, because the mean of its divisors is an integer number (14868600).

Almost surely, 2^101998253 is an apocalyptic number.

It is an amenable number.

101998253 is a deficient number, since it is larger than the sum of its proper divisors (16950547).

101998253 is an frugal number, since it uses more digits than its factorization.

101998253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297392 (or 297378 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The square root of 101998253 is about 10099.4184486039. The cubic root of 101998253 is about 467.2302053176.

The spelling of 101998253 in words is "one hundred one million, nine hundred ninety-eight thousand, two hundred fifty-three".