10120095104 has 128 divisors (see below), whose sum is σ = 24503109120. Its totient is φ = 4064256000.

The previous prime is 10120095101. The next prime is 10120095119. The reversal of 10120095104 is 40159002101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 10120095104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120095101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3821909 + ... + 3824555.

It is an arithmetic number, because the mean of its divisors is an integer number (191430540).

Almost surely, 2^10120095104 is an apocalyptic number.

10120095104 is a gapful number since it is divisible by the number (14) 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 10120095104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12251554560).

10120095104 is an abundant number, since it is smaller than the sum of its proper divisors (14383014016).

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

10120095104 is a wasteful number, since it uses less digits than its factorization.

10120095104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2936 (or 2924 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 23.

Adding to 10120095104 its reverse (40159002101), we get a palindrome (50279097205).

The spelling of 10120095104 in words is "ten billion, one hundred twenty million, ninety-five thousand, one hundred four".