101889956 has 24 divisors (see below), whose sum is σ = 207627840. Its totient is φ = 42842592.

The previous prime is 101889917. The next prime is 101890003. The reversal of 101889956 is 659988101.

It is a super-3 number, since 3×101889956³ (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101889956.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32846 + ... + 35813.

It is an arithmetic number, because the mean of its divisors is an integer number (8651160).

Almost surely, 2^101889956 is an apocalyptic number.

It is an amenable number.

101889956 is an abundant number, since it is smaller than the sum of its proper divisors (105737884).

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

101889956 is a wasteful number, since it uses less digits than its factorization.

101889956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68723 (or 68721 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 47.

The square root of 101889956 is about 10094.0554783496. The cubic root of 101889956 is about 467.0647856601.

The spelling of 101889956 in words is "one hundred one million, eight hundred eighty-nine thousand, nine hundred fifty-six".