101351984 has 40 divisors (see below), whose sum is σ = 211995360. Its totient is φ = 46796288.

The previous prime is 101351983. The next prime is 101352001. The reversal of 101351984 is 489153101.

It is a super-3 number, since 3×101351984³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101351984.

It is not an unprimeable number, because it can be changed into a prime (101351981) 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, 5924 + ... + 15420.

It is an arithmetic number, because the mean of its divisors is an integer number (5299884).

Almost surely, 2^101351984 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 101351984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105997680).

101351984 is an abundant number, since it is smaller than the sum of its proper divisors (110643376).

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

101351984 is a wasteful number, since it uses less digits than its factorization.

101351984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9557 (or 9551 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 32.

The square root of 101351984 is about 10067.3722490032. The cubic root of 101351984 is about 466.2413112829.

The spelling of 101351984 in words is "one hundred one million, three hundred fifty-one thousand, nine hundred eighty-four".