102487680 has 192 divisors, whose sum is σ = 367567200. Its totient is φ = 27288576.

The previous prime is 102487673. The next prime is 102487687. The reversal of 102487680 is 86784201.

It is an interprime number because it is at equal distance from previous prime (102487673) and next prime (102487687).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (102487687) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155191 + ... + 155849.

Almost surely, 2^102487680 is an apocalyptic number.

102487680 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 102487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183783600).

102487680 is an abundant number, since it is smaller than the sum of its proper divisors (265079520).

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

102487680 is an frugal number, since it uses more digits than its factorization.

102487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 693 (or 669 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 102487680 is about 10123.6199059427. The cubic root of 102487680 is about 467.9763301638.

The spelling of 102487680 in words is "one hundred two million, four hundred eighty-seven thousand, six hundred eighty".