102597129198 has 64 divisors (see below), whose sum is σ = 231327516480. Its totient is φ = 33699815424.

The previous prime is 102597129191. The next prime is 102597129209. The reversal of 102597129198 is 891921795201.

It is a happy number.

102597129198 is a `hidden beast` number, since 10 + 2 + 597 + 1 + 29 + 19 + 8 = 666.

It is a super-2 number, since 2×102597129198² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102597129191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4533840 + ... + 4556412.

It is an arithmetic number, because the mean of its divisors is an integer number (3614492445).

Almost surely, 2^102597129198 is an apocalyptic number.

102597129198 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102597129198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115663758240).

102597129198 is an abundant number, since it is smaller than the sum of its proper divisors (128730387282).

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

102597129198 is a wasteful number, since it uses less digits than its factorization.

102597129198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23810 (or 23804 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 54.

The spelling of 102597129198 in words is "one hundred two billion, five hundred ninety-seven million, one hundred twenty-nine thousand, one hundred ninety-eight".