105003748656 has 160 divisors (see below), whose sum is σ = 305689531840. Its totient is φ = 34936012800.

The previous prime is 105003748637. The next prime is 105003748657. The reversal of 105003748656 is 656847300501.

105003748656 is a `hidden beast` number, since 10 + 500 + 3 + 7 + 4 + 86 + 56 = 666.

It is a super-2 number, since 2×105003748656² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105003748657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21027696 + ... + 21032688.

It is an arithmetic number, because the mean of its divisors is an integer number (1910559574).

Almost surely, 2^105003748656 is an apocalyptic number.

105003748656 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 105003748656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152844765920).

105003748656 is an abundant number, since it is smaller than the sum of its proper divisors (200685783184).

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

105003748656 is an frugal number, since it uses more digits than its factorization.

105003748656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5623 (or 5599 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 105003748656 in words is "one hundred five billion, three million, seven hundred forty-eight thousand, six hundred fifty-six".