101984850 has 108 divisors (see below), whose sum is σ = 301333578. Its totient is φ = 24710400.

The previous prime is 101984849. The next prime is 101984881. The reversal of 101984850 is 58489101.

It can be written as a sum of positive squares in 3 ways, for example, as 44876601 + 57108249 = 6699^2 + 7557^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 53514 + ... + 55386.

Almost surely, 2^101984850 is an apocalyptic number.

101984850 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101984850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150666789).

101984850 is an abundant number, since it is smaller than the sum of its proper divisors (199348728).

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

101984850 is a wasteful number, since it uses less digits than its factorization.

101984850 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 101984850 is about 10098.7548737456. The cubic root of 101984850 is about 467.2097390822.

The spelling of 101984850 in words is "one hundred one million, nine hundred eighty-four thousand, eight hundred fifty".