101833216 has 40 divisors (see below), whose sum is σ = 205549344. Its totient is φ = 50396160.

The previous prime is 101833201. The next prime is 101833231. The reversal of 101833216 is 612338101.

It is an interprime number because it is at equal distance from previous prime (101833201) and next prime (101833231).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 51771 + ... + 53701.

Almost surely, 2^101833216 is an apocalyptic number.

101833216 is a gapful number since it is divisible by the number (16) 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 101833216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102774672).

101833216 is an abundant number, since it is smaller than the sum of its proper divisors (103716128).

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

101833216 is an equidigital number, since it uses as much as digits as its factorization.

101833216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 101833216 is about 10091.2445218615. The cubic root of 101833216 is about 466.9780706138.

The spelling of 101833216 in words is "one hundred one million, eight hundred thirty-three thousand, two hundred sixteen".