101838860 has 48 divisors (see below), whose sum is σ = 226195200. Its totient is φ = 38407104.

The previous prime is 101838859. The next prime is 101838883. The reversal of 101838860 is 68838101.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 101838860.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99431 + ... + 100449.

It is an arithmetic number, because the mean of its divisors is an integer number (4712400).

Almost surely, 2^101838860 is an apocalyptic number.

101838860 is a gapful number since it is divisible by the number (10) 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 101838860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113097600).

101838860 is an abundant number, since it is smaller than the sum of its proper divisors (124356340).

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

101838860 is a wasteful number, since it uses less digits than its factorization.

101838860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 35.

The square root of 101838860 is about 10091.5241663487. The cubic root of 101838860 is about 466.9866977122.

The spelling of 101838860 in words is "one hundred one million, eight hundred thirty-eight thousand, eight hundred sixty".