105098352000 has 768 divisors, whose sum is σ = 385395641280. Its totient is φ = 25229721600.

The previous prime is 105098351957. The next prime is 105098352013. The reversal of 105098352000 is 253890501.

It is a super-2 number, since 2×105098352000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1781327971 + ... + 1781328029.

Almost surely, 2^105098352000 is an apocalyptic number.

105098352000 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 105098352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192697820640).

105098352000 is an abundant number, since it is smaller than the sum of its proper divisors (280297289280).

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

105098352000 is an equidigital number, since it uses as much as digits as its factorization.

105098352000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The spelling of 105098352000 in words is "one hundred five billion, ninety-eight million, three hundred fifty-two thousand".