101084856 has 64 divisors (see below), whose sum is σ = 270151200. Its totient is φ = 31408128.

The previous prime is 101084813. The next prime is 101084857. The reversal of 101084856 is 658480101.

It is a super-2 number, since 2×101084856² = 20436296225081472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101084857) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 43336 + ... + 45608.

Almost surely, 2^101084856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101084856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135075600).

101084856 is an abundant number, since it is smaller than the sum of its proper divisors (169066344).

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

101084856 is a wasteful number, since it uses less digits than its factorization.

101084856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2408 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 33.

The square root of 101084856 is about 10054.0964785504. The cubic root of 101084856 is about 465.8313351304.

The spelling of 101084856 in words is "one hundred one million, eighty-four thousand, eight hundred fifty-six".