101827992 has 192 divisors, whose sum is σ = 324794880. Its totient is φ = 26002944.

The previous prime is 101827951. The next prime is 101827997. The reversal of 101827992 is 299728101.

It is a self number, because there is not a number n which added to its sum of digits gives 101827992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101827997) 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 47 ways as a sum of consecutive naturals, for example, 1394868 + ... + 1394940.

It is an arithmetic number, because the mean of its divisors is an integer number (1691640).

Almost surely, 2^101827992 is an apocalyptic number.

101827992 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 101827992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162397440).

101827992 is an abundant number, since it is smaller than the sum of its proper divisors (222966888).

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

101827992 is a wasteful number, since it uses less digits than its factorization.

101827992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The square root of 101827992 is about 10090.9856802990. The cubic root of 101827992 is about 466.9700852195.

The spelling of 101827992 in words is "one hundred one million, eight hundred twenty-seven thousand, nine hundred ninety-two".