10225105488 has 120 divisors (see below), whose sum is σ = 30996448392. Its totient is φ = 3127901184.

The previous prime is 10225105477. The next prime is 10225105543. The reversal of 10225105488 is 88450152201.

10225105488 is a `hidden beast` number, since 10 + 2 + 2 + 510 + 54 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1600640064 + 8624465424 = 40008^2 + 92868^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308070 + ... + 339642.

Almost surely, 2^10225105488 is an apocalyptic number.

10225105488 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 10225105488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15498224196).

10225105488 is an abundant number, since it is smaller than the sum of its proper divisors (20771342904).

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

10225105488 is a wasteful number, since it uses less digits than its factorization.

10225105488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31773 (or 31764 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

Adding to 10225105488 its reverse (88450152201), we get a palindrome (98675257689).

The spelling of 10225105488 in words is "ten billion, two hundred twenty-five million, one hundred five thousand, four hundred eighty-eight".