102097497600 has 720 divisors, whose sum is σ = 436003009200. Its totient is φ = 23332700160.

The previous prime is 102097497589. The next prime is 102097497611. The reversal of 102097497600 is 6794790201.

102097497600 is a `hidden beast` number, since 10 + 2 + 0 + 97 + 497 + 60 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (102097497589) and next prime (102097497611).

It is a tau number, because it is divible by the number of its divisors (720).

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 71 ways as a sum of consecutive naturals, for example, 16931386 + ... + 16937414.

It is an arithmetic number, because the mean of its divisors is an integer number (605559735).

Almost surely, 2^102097497600 is an apocalyptic number.

102097497600 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 102097497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218001504600).

102097497600 is an abundant number, since it is smaller than the sum of its proper divisors (333905511600).

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

102097497600 is an equidigital number, since it uses as much as digits as its factorization.

102097497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6046 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 102097497600 in words is "one hundred two billion, ninety-seven million, four hundred ninety-seven thousand, six hundred".