10107728400 has 240 divisors, whose sum is σ = 40368273408. Its totient is φ = 2100288000.

The previous prime is 10107728387. The next prime is 10107728417. The reversal of 10107728400 is 482770101.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37705 + ... + 147095.

Almost surely, 2^10107728400 is an apocalyptic number.

10107728400 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 10107728400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20184136704).

10107728400 is an abundant number, since it is smaller than the sum of its proper divisors (30260545008).

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

10107728400 is a wasteful number, since it uses less digits than its factorization.

10107728400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109430 (or 109419 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The spelling of 10107728400 in words is "ten billion, one hundred seven million, seven hundred twenty-eight thousand, four hundred".