101994984 has 128 divisors (see below), whose sum is σ = 348768000. Its totient is φ = 26894592.

The previous prime is 101994967. The next prime is 101995013. The reversal of 101994984 is 489499101.

It is a super-2 number, since 2×101994984² = 20805953522320512, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17062 + ... + 22250.

It is an arithmetic number, because the mean of its divisors is an integer number (2724750).

Almost surely, 2^101994984 is an apocalyptic number.

101994984 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 101994984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174384000).

101994984 is an abundant number, since it is smaller than the sum of its proper divisors (246773016).

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

101994984 is a wasteful number, since it uses less digits than its factorization.

101994984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 101994984 is about 10099.2566063052. The cubic root of 101994984 is about 467.2252137554.

The spelling of 101994984 in words is "one hundred one million, nine hundred ninety-four thousand, nine hundred eighty-four".