10106365113440 has 96 divisors (see below), whose sum is σ = 24004031075136. Its totient is φ = 4020924579840.

The previous prime is 10106365113437. The next prime is 10106365113451. The reversal of 10106365113440 is 4431156360101.

It is a super-3 number, since 3×10106365113440³ (a number of 40 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10106365113440.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209681984 + ... + 209730176.

It is an arithmetic number, because the mean of its divisors is an integer number (250041990366).

Almost surely, 2^{10106365113440} is an apocalyptic number.

10106365113440 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 10106365113440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12002015537568).

10106365113440 is an abundant number, since it is smaller than the sum of its proper divisors (13897665961696).

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

10106365113440 is a wasteful number, since it uses less digits than its factorization.

10106365113440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55192 (or 55184 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The spelling of 10106365113440 in words is "ten trillion, one hundred six billion, three hundred sixty-five million, one hundred thirteen thousand, four hundred forty".