105225378048 has 576 divisors, whose sum is σ = 387346176000. Its totient is φ = 27492950016.

The previous prime is 105225378007. The next prime is 105225378053. The reversal of 105225378048 is 840873522501.

105225378048 is a `hidden beast` number, since 1 + 0 + 522 + 5 + 3 + 7 + 80 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×105225378048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105225377994 and 105225378012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26657611 + ... + 26661557.

It is an arithmetic number, because the mean of its divisors is an integer number (672476000).

Almost surely, 2^105225378048 is an apocalyptic number.

105225378048 is a gapful number since it is divisible by the number (18) 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 105225378048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193673088000).

105225378048 is an abundant number, since it is smaller than the sum of its proper divisors (282120797952).

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

105225378048 is a wasteful number, since it uses less digits than its factorization.

105225378048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4027 (or 4007 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 105225378048 in words is "one hundred five billion, two hundred twenty-five million, three hundred seventy-eight thousand, forty-eight".