101838366 has 144 divisors (see below), whose sum is σ = 277430400. Its totient is φ = 26834976.

The previous prime is 101838349. The next prime is 101838391. The reversal of 101838366 is 663838101.

It is a self number, because there is not a number n which added to its sum of digits gives 101838366.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 988671 + ... + 988773.

It is an arithmetic number, because the mean of its divisors is an integer number (1926600).

Almost surely, 2^101838366 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101838366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138715200).

101838366 is an abundant number, since it is smaller than the sum of its proper divisors (175592034).

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

101838366 is a wasteful number, since it uses less digits than its factorization.

101838366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 101838366 is about 10091.4996903334. The cubic root of 101838366 is about 466.9859426246.

The spelling of 101838366 in words is "one hundred one million, eight hundred thirty-eight thousand, three hundred sixty-six".