10107682200 has 1152 divisors, whose sum is σ = 45692075520. Its totient is φ = 2015539200.

The previous prime is 10107682199. The next prime is 10107682219. The reversal of 10107682200 is 228670101.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 138461364 + ... + 138461436.

It is an arithmetic number, because the mean of its divisors is an integer number (39663260).

Almost surely, 2^10107682200 is an apocalyptic number.

10107682200 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 10107682200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22846037760).

10107682200 is an abundant number, since it is smaller than the sum of its proper divisors (35584393320).

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

10107682200 is a wasteful number, since it uses less digits than its factorization.

10107682200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10107682200 in words is "ten billion, one hundred seven million, six hundred eighty-two thousand, two hundred".