202101984 has 144 divisors (see below), whose sum is σ = 695586528. Its totient is φ = 54337536.

The previous prime is 202101979. The next prime is 202102003. The reversal of 202101984 is 489101202.

202101984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31324 + ... + 37220.

It is an arithmetic number, because the mean of its divisors is an integer number (4830462).

Almost surely, 2^202101984 is an apocalyptic number.

202101984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202101984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347793264).

202101984 is an abundant number, since it is smaller than the sum of its proper divisors (493484544).

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

202101984 is a wasteful number, since it uses less digits than its factorization.

202101984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5937 (or 5926 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 202101984 is about 14216.2577354239. The cubic root of 202101984 is about 586.8451580399.

The spelling of 202101984 in words is "two hundred two million, one hundred one thousand, nine hundred eighty-four".