102744000 has 168 divisors, whose sum is σ = 367789968. Its totient is φ = 27379200.

The previous prime is 102743941. The next prime is 102744011. The reversal of 102744000 is 447201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71287 + ... + 72713.

It is an arithmetic number, because the mean of its divisors is an integer number (2189226).

Almost surely, 2^102744000 is an apocalyptic number.

102744000 is a gapful number since it is divisible by the number (10) 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 102744000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183894984).

102744000 is an abundant number, since it is smaller than the sum of its proper divisors (265045968).

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

102744000 is a wasteful number, since it uses less digits than its factorization.

102744000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 102744000 is about 10136.2715038618. The cubic root of 102744000 is about 468.3661390742.

The spelling of 102744000 in words is "one hundred two million, seven hundred forty-four thousand".