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101092992 = 27371113263

101092992 has 256 divisors, whose sum is σ = 361912320. Its totient is φ = 24145920.

The previous prime is 101092987. The next prime is 101092997. The reversal of 101092992 is 299290101.

It is an interprime number because it is at equal distance from previous prime (101092987) and next prime (101092997).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101092997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384253 + ... + 384515.

It is an arithmetic number, because the mean of its divisors is an integer number (1413720).

Almost surely, 2101092992 is an apocalyptic number.

101092992 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 101092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180956160).

101092992 is an abundant number, since it is smaller than the sum of its proper divisors (260819328).

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

101092992 is a wasteful number, since it uses less digits than its factorization.

101092992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 33.

The square root of 101092992 is about 10054.5010816052. The cubic root of 101092992 is about 465.8438325582.

The spelling of 101092992 in words is "one hundred one million, ninety-two thousand, nine hundred ninety-two".