10534225224100 has 72 divisors (see below), whose sum is σ = 24216206891688. Its totient is φ = 3963814656000.

The previous prime is 10534225224091. The next prime is 10534225224139. The reversal of 10534225224100 is 142252243501.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 5033211484324 + 5501013739776 = 2243482^2 + 2345424^2 .

It is a super-2 number, since 2×10534225224100² (a number of 27 digits) contains 22 as substring.

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, 1783750 + ... + 4924450.

It is an arithmetic number, because the mean of its divisors is an integer number (336336206829).

Almost surely, 2^{10534225224100} is an apocalyptic number.

10534225224100 is a gapful number since it is divisible by the number (10) 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 10534225224100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108103445844).

10534225224100 is an abundant number, since it is smaller than the sum of its proper divisors (13681981667588).

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

10534225224100 is a wasteful number, since it uses less digits than its factorization.

10534225224100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3142705 (or 3142698 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 31.

Adding to 10534225224100 its reverse (142252243501), we get a palindrome (10676477467601).

The spelling of 10534225224100 in words is "ten trillion, five hundred thirty-four billion, two hundred twenty-five million, two hundred twenty-four thousand, one hundred".