101889984 has 112 divisors (see below), whose sum is σ = 314846208. Its totient is φ = 28474368.

The previous prime is 101889917. The next prime is 101890003. The reversal of 101889984 is 489988101.

101889984 = T₅₃₉₂ + T₅₃₉₃ + ... + T₅₃₉₈.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-3 number, since 3×101889984³ (a number of 25 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62362 + ... + 63974.

Almost surely, 2^101889984 is an apocalyptic number.

101889984 is a gapful number since it is divisible by the number (14) 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 101889984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157423104).

101889984 is an abundant number, since it is smaller than the sum of its proper divisors (212956224).

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

101889984 is a wasteful number, since it uses less digits than its factorization.

101889984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 48.

The square root of 101889984 is about 10094.0568653045. The cubic root of 101889984 is about 467.0648284442.

The spelling of 101889984 in words is "one hundred one million, eight hundred eighty-nine thousand, nine hundred eighty-four".