102647988072 has 448 divisors, whose sum is σ = 353187648000. Its totient is φ = 27301318272.

The previous prime is 102647988071. The next prime is 102647988073. The reversal of 102647988072 is 270889746201.

It is a happy number.

102647988072 is a `hidden beast` number, since 1 + 0 + 26 + 479 + 8 + 80 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (102647988071) and next prime (102647988073).

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

It is not an unprimeable number, because it can be changed into a prime (102647988071) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 45762583 + ... + 45764825.

Almost surely, 2^102647988072 is an apocalyptic number.

102647988072 is a gapful number since it is divisible by the number (12) 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 102647988072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176593824000).

102647988072 is an abundant number, since it is smaller than the sum of its proper divisors (250539659928).

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

102647988072 is a wasteful number, since it uses less digits than its factorization.

102647988072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2352 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 102647988072 in words is "one hundred two billion, six hundred forty-seven million, nine hundred eighty-eight thousand, seventy-two".