10097302600 has 192 divisors, whose sum is σ = 29868624000. Its totient is φ = 3146976000.

The previous prime is 10097302583. The next prime is 10097302619. The reversal of 10097302600 is 620379001.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 747910 + ... + 761290.

It is an arithmetic number, because the mean of its divisors is an integer number (155565750).

Almost surely, 2^10097302600 is an apocalyptic number.

10097302600 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 10097302600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14934312000).

10097302600 is an abundant number, since it is smaller than the sum of its proper divisors (19771321400).

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

10097302600 is a wasteful number, since it uses less digits than its factorization.

10097302600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13429 (or 13406 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 28.

The spelling of 10097302600 in words is "ten billion, ninety-seven million, three hundred two thousand, six hundred".