101996000 has 96 divisors (see below), whose sum is σ = 256864608. Its totient is φ = 39782400.

The previous prime is 101995991. The next prime is 101996003. The reversal of 101996000 is 699101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101996003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 171704 + ... + 172296.

It is an arithmetic number, because the mean of its divisors is an integer number (2675673).

Almost surely, 2^101996000 is an apocalyptic number.

101996000 is a gapful number since it is divisible by the number (10) 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 101996000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128432304).

101996000 is an abundant number, since it is smaller than the sum of its proper divisors (154868608).

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

101996000 is an equidigital number, since it uses as much as digits as its factorization.

101996000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 26.

The square root of 101996000 is about 10099.3069069120. The cubic root of 101996000 is about 467.2267651364.

The spelling of 101996000 in words is "one hundred one million, nine hundred ninety-six thousand".