10109601360 has 80 divisors (see below), whose sum is σ = 34821967680. Its totient is φ = 2695893120.

The previous prime is 10109601343. The next prime is 10109601367. The reversal of 10109601360 is 6310690101.

10109601360 is a `hidden beast` number, since 10 + 10 + 9 + 601 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×10109601360² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10109601367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2338026 + ... + 2342345.

It is an arithmetic number, because the mean of its divisors is an integer number (435274596).

Almost surely, 2^10109601360 is an apocalyptic number.

10109601360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10109601360 is an abundant number, since it is smaller than the sum of its proper divisors (24712366320).

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

10109601360 is a wasteful number, since it uses less digits than its factorization.

10109601360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4680393 (or 4680381 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The spelling of 10109601360 in words is "ten billion, one hundred nine million, six hundred one thousand, three hundred sixty".