102830757120 has 1512 divisors, whose sum is σ = 465312213576. Its totient is φ = 21570748416.

The previous prime is 102830757101. The next prime is 102830757121. The reversal of 102830757120 is 21757038201.

102830757120 is a `hidden beast` number, since 1 + 0 + 2 + 83 + 0 + 7 + 571 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13204767744 + 89625989376 = 114912^2 + 299376^2 .

It is a tau number, because it is divible by the number of its divisors (1512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102830757121) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 594397354 + ... + 594397526.

It is an arithmetic number, because the mean of its divisors is an integer number (307746173).

Almost surely, 2^102830757120 is an apocalyptic number.

102830757120 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 102830757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232656106788).

102830757120 is an abundant number, since it is smaller than the sum of its proper divisors (362481456456).

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

102830757120 is an equidigital number, since it uses as much as digits as its factorization.

102830757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 102830757120 in words is "one hundred two billion, eight hundred thirty million, seven hundred fifty-seven thousand, one hundred twenty".