10102579200 has 1008 divisors, whose sum is σ = 44367785280. Its totient is φ = 2229534720.

The previous prime is 10102579199. The next prime is 10102579219. The reversal of 10102579200 is 297520101.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 348364786 + ... + 348364814.

It is an arithmetic number, because the mean of its divisors is an integer number (44015660).

Almost surely, 2^10102579200 is an apocalyptic number.

10102579200 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 10102579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22183892640).

10102579200 is an abundant number, since it is smaller than the sum of its proper divisors (34265206080).

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

10102579200 is an frugal number, since it uses more digits than its factorization.

10102579200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 10102579200 in words is "ten billion, one hundred two million, five hundred seventy-nine thousand, two hundred".