10105600496 has 40 divisors (see below), whose sum is σ = 20791280880. Its totient is φ = 4741827584.

The previous prime is 10105600493. The next prime is 10105600511. The reversal of 10105600496 is 69400650101.

It is a super-2 number, since 2×10105600496² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105600493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40850 + ... + 147918.

It is an arithmetic number, because the mean of its divisors is an integer number (519782022).

Almost surely, 2^10105600496 is an apocalyptic number.

10105600496 is a gapful number since it is divisible by the number (16) 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 10105600496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10395640440).

10105600496 is an abundant number, since it is smaller than the sum of its proper divisors (10685680384).

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

10105600496 is a wasteful number, since it uses less digits than its factorization.

10105600496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107441 (or 107435 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 10105600496 in words is "ten billion, one hundred five million, six hundred thousand, four hundred ninety-six".