102927744 has 96 divisors (see below), whose sum is σ = 302646240. Its totient is φ = 33561600.

The previous prime is 102927743. The next prime is 102927761. The reversal of 102927744 is 447729201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 102927699 and 102927708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102927743) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53194 + ... + 55094.

It is an arithmetic number, because the mean of its divisors is an integer number (3152565).

Almost surely, 2^102927744 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102927744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151323120).

102927744 is an abundant number, since it is smaller than the sum of its proper divisors (199718496).

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

102927744 is a wasteful number, since it uses less digits than its factorization.

102927744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1968 (or 1953 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 102927744 is about 10145.3311429445. The cubic root of 102927744 is about 468.6451763474.

The spelling of 102927744 in words is "one hundred two million, nine hundred twenty-seven thousand, seven hundred forty-four".