102657005880 has 384 divisors, whose sum is σ = 366847004160. Its totient is φ = 22654771200.

The previous prime is 102657005861. The next prime is 102657005881. The reversal of 102657005880 is 88500756201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102657005881) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425962560 + ... + 425962800.

It is an arithmetic number, because the mean of its divisors is an integer number (955330740).

Almost surely, 2^102657005880 is an apocalyptic number.

102657005880 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 102657005880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183423502080).

102657005880 is an abundant number, since it is smaller than the sum of its proper divisors (264189998280).

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

102657005880 is a wasteful number, since it uses less digits than its factorization.

102657005880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 623 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The spelling of 102657005880 in words is "one hundred two billion, six hundred fifty-seven million, five thousand, eight hundred eighty".