102774240 has 144 divisors (see below), whose sum is σ = 353808000. Its totient is φ = 27165696.

The previous prime is 102774239. The next prime is 102774293. The reversal of 102774240 is 42477201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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, 214321 + ... + 214799.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2^102774240 is an apocalyptic number.

102774240 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 102774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176904000).

102774240 is an abundant number, since it is smaller than the sum of its proper divisors (251033760).

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

102774240 is a wasteful number, since it uses less digits than its factorization.

102774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 102774240 is about 10137.7630668703. The cubic root of 102774240 is about 468.4120849939.

The spelling of 102774240 in words is "one hundred two million, seven hundred seventy-four thousand, two hundred forty".