101853216 has 36 divisors (see below), whose sum is σ = 289645902. Its totient is φ = 33950976.

The previous prime is 101853211. The next prime is 101853217. The reversal of 101853216 is 612358101.

It can be written as a sum of positive squares in only one way, i.e., 84713616 + 17139600 = 9204^2 + 4140^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101853216.

It is not an unprimeable number, because it can be changed into a prime (101853211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 176541 + ... + 177116.

Almost surely, 2^101853216 is an apocalyptic number.

101853216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101853216 is an abundant number, since it is smaller than the sum of its proper divisors (187792686).

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

101853216 is a wasteful number, since it uses less digits than its factorization.

101853216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353673 (or 353662 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 101853216 is about 10092.2354312610. The cubic root of 101853216 is about 467.0086400436.

The spelling of 101853216 in words is "one hundred one million, eight hundred fifty-three thousand, two hundred sixteen".