101344992 has 192 divisors, whose sum is σ = 325140480. Its totient is φ = 27016704.

The previous prime is 101344987. The next prime is 101345011. The reversal of 101344992 is 299443101.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1220983 + ... + 1221065.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 2^101344992 is an apocalyptic number.

101344992 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 101344992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

101344992 is an abundant number, since it is smaller than the sum of its proper divisors (223795488).

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

101344992 is a wasteful number, since it uses less digits than its factorization.

101344992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 101344992 is about 10067.0249825855. The cubic root of 101344992 is about 466.2305894595.

The spelling of 101344992 in words is "one hundred one million, three hundred forty-four thousand, nine hundred ninety-two".