102738924288 has 1152 divisors, whose sum is σ = 421960089600. Its totient is φ = 23788339200.

The previous prime is 102738924269. The next prime is 102738924317. The reversal of 102738924288 is 882429837201.

102738924288 is a `hidden beast` number, since 1 + 0 + 273 + 8 + 92 + 4 + 288 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 214486033 + ... + 214486511.

It is an arithmetic number, because the mean of its divisors is an integer number (366284800).

Almost surely, 2^102738924288 is an apocalyptic number.

102738924288 is a gapful number since it is divisible by the number (18) 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 102738924288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210980044800).

102738924288 is an abundant number, since it is smaller than the sum of its proper divisors (319221165312).

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

102738924288 is a wasteful number, since it uses less digits than its factorization.

102738924288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 102738924288 in words is "one hundred two billion, seven hundred thirty-eight million, nine hundred twenty-four thousand, two hundred eighty-eight".