10323700168100 has 108 divisors (see below), whose sum is σ = 24629132465364. Its totient is φ = 3753314400000.

The previous prime is 10323700168099. The next prime is 10323700168121. The reversal of 10323700168100 is 186100732301.

It can be written as a sum of positive squares in 6 ways, for example, as 1522652345764 + 8801047822336 = 1233958^2 + 2966656^2 .

It is a super-2 number, since 2×10323700168100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61638470 + ... + 61805730.

Almost surely, 2^{10323700168100} is an apocalyptic number.

10323700168100 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 10323700168100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12314566232682).

10323700168100 is an abundant number, since it is smaller than the sum of its proper divisors (14305432297264).

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

10323700168100 is a wasteful number, since it uses less digits than its factorization.

10323700168100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172398 (or 172380 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The spelling of 10323700168100 in words is "ten trillion, three hundred twenty-three billion, seven hundred million, one hundred sixty-eight thousand, one hundred".