101538192 has 120 divisors (see below), whose sum is σ = 318568896. Its totient is φ = 27734784.

The previous prime is 101538191. The next prime is 101538197. The reversal of 101538192 is 291835101.

It is not an unprimeable number, because it can be changed into a prime (101538191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53158 + ... + 55034.

Almost surely, 2^101538192 is an apocalyptic number.

101538192 is a gapful number since it is divisible by the number (12) 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 101538192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159284448).

101538192 is an abundant number, since it is smaller than the sum of its proper divisors (217030704).

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

101538192 is a wasteful number, since it uses less digits than its factorization.

101538192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925 (or 1912 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 101538192 is about 10076.6160986712. The cubic root of 101538192 is about 466.5266691168.

The spelling of 101538192 in words is "one hundred one million, five hundred thirty-eight thousand, one hundred ninety-two".