10095501400 has 96 divisors (see below), whose sum is σ = 23864544000. Its totient is φ = 3971179520.

The previous prime is 10095501349. The next prime is 10095501421. The reversal of 10095501400 is 410559001.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3505161 + ... + 3508039.

It is an arithmetic number, because the mean of its divisors is an integer number (248589000).

Almost surely, 2^10095501400 is an apocalyptic number.

10095501400 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 10095501400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11932272000).

10095501400 is an abundant number, since it is smaller than the sum of its proper divisors (13769042600).

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

10095501400 is a wasteful number, since it uses less digits than its factorization.

10095501400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3181 (or 3172 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The spelling of 10095501400 in words is "ten billion, ninety-five million, five hundred one thousand, four hundred".