102004697088 has 864 divisors, whose sum is σ = 367040419200. Its totient is φ = 28203614208.

The previous prime is 102004697071. The next prime is 102004697129. The reversal of 102004697088 is 880796400201.

102004697088 is a `hidden beast` number, since 102 + 0 + 0 + 469 + 7 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1146120148 + ... + 1146120236.

It is an arithmetic number, because the mean of its divisors is an integer number (424815300).

Almost surely, 2^102004697088 is an apocalyptic number.

102004697088 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 102004697088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183520209600).

102004697088 is an abundant number, since it is smaller than the sum of its proper divisors (265035722112).

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

102004697088 is an frugal number, since it uses more digits than its factorization.

102004697088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 102004697088 in words is "one hundred two billion, four million, six hundred ninety-seven thousand, eighty-eight".