101641984 has 36 divisors (see below), whose sum is σ = 209898360. Its totient is φ = 49064960.

The previous prime is 101641961. The next prime is 101642003. The reversal of 101641984 is 489146101.

It is a super-2 number, since 2×101641984² = 20662185822912512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 579 + ... + 14269.

It is an arithmetic number, because the mean of its divisors is an integer number (5830510).

Almost surely, 2^101641984 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 101641984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104949180).

101641984 is an abundant number, since it is smaller than the sum of its proper divisors (108256376).

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

101641984 is an equidigital number, since it uses as much as digits as its factorization.

101641984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13736 (or 13722 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 34.

The square root of 101641984 is about 10081.7649248532. The cubic root of 101641984 is about 466.6855756510.

The spelling of 101641984 in words is "one hundred one million, six hundred forty-one thousand, nine hundred eighty-four".