10225658884 has 81 divisors (see below), whose sum is σ = 21602394261. Its totient is φ = 4222854720.

The previous prime is 10225658881. The next prime is 10225658909. The reversal of 10225658884 is 48885652201.

The square root of 10225658884 is 101122.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2076624900 + 8149033984 = 45570^2 + 90272^2 .

It is a super-2 number, since 2×10225658884² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (10225658881) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43886832 + ... + 43887064.

Almost surely, 2^10225658884 is an apocalyptic number.

10225658884 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10225658884 is the 101122-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10225658884

10225658884 is an abundant number, since it is smaller than the sum of its proper divisors (11376735377).

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

10225658884 is an equidigital number, since it uses as much as digits as its factorization.

10225658884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 49.

Multiplying 10225658884 by its sum of digits (49), we get a square (501057285316 = 707854²).

10225658884 divided by its sum of digits (49) gives a square (208686916 = 14446²).

The spelling of 10225658884 in words is "ten billion, two hundred twenty-five million, six hundred fifty-eight thousand, eight hundred eighty-four".