102630589920 has 240 divisors, whose sum is σ = 371036535408. Its totient is φ = 26700503040.

The previous prime is 102630589909. The next prime is 102630589937. The reversal of 102630589920 is 29985036201.

102630589920 is a `hidden beast` number, since 1 + 0 + 2 + 63 + 0 + 589 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 434787 + ... + 627933.

Almost surely, 2^102630589920 is an apocalyptic number.

102630589920 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 102630589920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185518267704).

102630589920 is an abundant number, since it is smaller than the sum of its proper divisors (268405945488).

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

102630589920 is a wasteful number, since it uses less digits than its factorization.

102630589920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193215 (or 193198 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 102630589920 in words is "one hundred two billion, six hundred thirty million, five hundred eighty-nine thousand, nine hundred twenty".