102937745680 has 480 divisors, whose sum is σ = 318919016448. Its totient is φ = 30496435200.

The previous prime is 102937745633. The next prime is 102937745689. The reversal of 102937745680 is 86547739201.

102937745680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (102937745689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 268766769 + ... + 268767151.

It is a 2-persistent number, because it is pandigital, and so is 2⋅102937745680 = 205875491360, but 3⋅102937745680 = 308813237040 is not.

Almost surely, 2^102937745680 is an apocalyptic number.

102937745680 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 102937745680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159459508224).

102937745680 is an abundant number, since it is smaller than the sum of its proper divisors (215981270768).

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

102937745680 is a wasteful number, since it uses less digits than its factorization.

102937745680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 102937745680 in words is "one hundred two billion, nine hundred thirty-seven million, seven hundred forty-five thousand, six hundred eighty".