101382192 has 100 divisors (see below), whose sum is σ = 296088936. Its totient is φ = 33488640.

The previous prime is 101382167. The next prime is 101382209. The reversal of 101382192 is 291283101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 177267 + ... + 177837.

Almost surely, 2^101382192 is an apocalyptic number.

101382192 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 101382192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148044468).

101382192 is an abundant number, since it is smaller than the sum of its proper divisors (194706744).

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

101382192 is a wasteful number, since it uses less digits than its factorization.

101382192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 101382192 is about 10068.8724294233. The cubic root of 101382192 is about 466.2876278190.

The spelling of 101382192 in words is "one hundred one million, three hundred eighty-two thousand, one hundred ninety-two".