102488896512 has 352 divisors, whose sum is σ = 328194691200. Its totient is φ = 31484215296.

The previous prime is 102488896511. The next prime is 102488896579. The reversal of 102488896512 is 215698884201.

102488896512 is a `hidden beast` number, since 1 + 0 + 2 + 48 + 8 + 89 + 6 + 512 = 666.

It is a super-2 number, since 2×102488896512² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102488896511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19433908 + ... + 19439180.

Almost surely, 2^102488896512 is an apocalyptic number.

102488896512 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 102488896512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164097345600).

102488896512 is an abundant number, since it is smaller than the sum of its proper divisors (225705794688).

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

102488896512 is a wasteful number, since it uses less digits than its factorization.

102488896512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5334 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 102488896512 in words is "one hundred two billion, four hundred eighty-eight million, eight hundred ninety-six thousand, five hundred twelve".