10109146320 has 240 divisors, whose sum is σ = 41784742272. Its totient is φ = 2132904960.

The previous prime is 10109146309. The next prime is 10109146331. The reversal of 10109146320 is 2364190101.

10109146320 is a `hidden beast` number, since 1 + 0 + 10 + 9 + 14 + 632 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10109146309) and next prime (10109146331).

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

It is a congruent number.

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, 11626 + ... + 142665.

Almost surely, 2^10109146320 is an apocalyptic number.

10109146320 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 10109146320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20892371136).

10109146320 is an abundant number, since it is smaller than the sum of its proper divisors (31675595952).

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

10109146320 is a wasteful number, since it uses less digits than its factorization.

10109146320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154330 (or 154321 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The spelling of 10109146320 in words is "ten billion, one hundred nine million, one hundred forty-six thousand, three hundred twenty".