10108454913200 has 960 divisors, whose sum is σ = 31008865305600. Its totient is φ = 3088602316800.

The previous prime is 10108454913119. The next prime is 10108454913209. The reversal of 10108454913200 is 231945480101.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (10108454913209) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14800080059 + ... + 14800080741.

It is an arithmetic number, because the mean of its divisors is an integer number (32300901360).

Almost surely, 2^{10108454913200} is an apocalyptic number.

10108454913200 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 10108454913200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15504432652800).

10108454913200 is an abundant number, since it is smaller than the sum of its proper divisors (20900410392400).

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

10108454913200 is a wasteful number, since it uses less digits than its factorization.

10108454913200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 979 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 38.

The spelling of 10108454913200 in words is "ten trillion, one hundred eight billion, four hundred fifty-four million, nine hundred thirteen thousand, two hundred".