102407987880 has 256 divisors, whose sum is σ = 384406732800. Its totient is φ = 24025248000.

The previous prime is 102407987837. The next prime is 102407987887. The reversal of 102407987880 is 88789704201.

It is a happy number.

102407987880 is a `hidden beast` number, since 1 + 0 + 2 + 407 + 98 + 78 + 80 = 666.

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 (102407987887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 229245 + ... + 507315.

It is an arithmetic number, because the mean of its divisors is an integer number (1501588800).

Almost surely, 2^102407987880 is an apocalyptic number.

102407987880 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 102407987880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192203366400).

102407987880 is an abundant number, since it is smaller than the sum of its proper divisors (281998744920).

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

102407987880 is a wasteful number, since it uses less digits than its factorization.

102407987880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278133 (or 278123 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 102407987880 in words is "one hundred two billion, four hundred seven million, nine hundred eighty-seven thousand, eight hundred eighty".