10114675200 has 960 divisors, whose sum is σ = 43961829120. Its totient is φ = 2229534720.

The previous prime is 10114675189. The next prime is 10114675217. The reversal of 10114675200 is 257641101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89510344 + ... + 89510456.

It is an arithmetic number, because the mean of its divisors is an integer number (45793572).

Almost surely, 2^10114675200 is an apocalyptic number.

10114675200 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 10114675200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21980914560).

10114675200 is an abundant number, since it is smaller than the sum of its proper divisors (33847153920).

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

10114675200 is a wasteful number, since it uses less digits than its factorization.

10114675200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10114675200 in words is "ten billion, one hundred fourteen million, six hundred seventy-five thousand, two hundred".