101982633984 has 640 divisors, whose sum is σ = 380627280000. Its totient is φ = 26435911680.

The previous prime is 101982633919. The next prime is 101982634073. The reversal of 101982633984 is 489336289101.

101982633984 is a `hidden beast` number, since 1 + 0 + 198 + 2 + 63 + 398 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 101982633984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204373767 + ... + 204374265.

It is an arithmetic number, because the mean of its divisors is an integer number (594730125).

Almost surely, 2^101982633984 is an apocalyptic number.

101982633984 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 101982633984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190313640000).

101982633984 is an abundant number, since it is smaller than the sum of its proper divisors (278644646016).

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

101982633984 is an frugal number, since it uses more digits than its factorization.

101982633984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 101982633984 in words is "one hundred one billion, nine hundred eighty-two million, six hundred thirty-three thousand, nine hundred eighty-four".