101361984 has 56 divisors (see below), whose sum is σ = 270894048. Its totient is φ = 33446400.

The previous prime is 101361983. The next prime is 101362003. The reversal of 101361984 is 489163101.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101361983) 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, 16779 + ... + 22005.

Almost surely, 2^101361984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101361984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135447024).

101361984 is an abundant number, since it is smaller than the sum of its proper divisors (169532064).

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

101361984 is a wasteful number, since it uses less digits than its factorization.

101361984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5343 (or 5333 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 101361984 is about 10067.8688906839. The cubic root of 101361984 is about 466.2566448415.

The spelling of 101361984 in words is "one hundred one million, three hundred sixty-one thousand, nine hundred eighty-four".