102958198200 has 2304 divisors, whose sum is σ = 478769356800. Its totient is φ = 20072448000.

The previous prime is 102958198163. The next prime is 102958198243. The reversal of 102958198200 is 2891859201.

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 polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3321232185 + ... + 3321232215.

It is an arithmetic number, because the mean of its divisors is an integer number (207799200).

Almost surely, 2^102958198200 is an apocalyptic number.

102958198200 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 102958198200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239384678400).

102958198200 is an abundant number, since it is smaller than the sum of its proper divisors (375811158600).

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

102958198200 is a wasteful number, since it uses less digits than its factorization.

102958198200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 102958198200 in words is "one hundred two billion, nine hundred fifty-eight million, one hundred ninety-eight thousand, two hundred".