101838048 has 72 divisors (see below), whose sum is σ = 289516248. Its totient is φ = 31329792.

The previous prime is 101838047. The next prime is 101838067. The reversal of 101838048 is 840838101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101838047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13086 + ... + 19362.

It is an arithmetic number, because the mean of its divisors is an integer number (4021059).

Almost surely, 2^101838048 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 101838048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144758124).

101838048 is an abundant number, since it is smaller than the sum of its proper divisors (187678200).

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

101838048 is a wasteful number, since it uses less digits than its factorization.

101838048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316 (or 6295 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 101838048 is about 10091.4839344865. The cubic root of 101838048 is about 466.9854565547.

The spelling of 101838048 in words is "one hundred one million, eight hundred thirty-eight thousand, forty-eight".