10605226010500 has 96 divisors (see below), whose sum is σ = 25271912510208. Its totient is φ = 3855762144000.

The previous prime is 10605226010479. The next prime is 10605226010503. The reversal of 10605226010500 is 501062250601.

It is a super-2 number, since 2×10605226010500² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10605226010503) 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, 31385449 + ... + 31721551.

It is an arithmetic number, because the mean of its divisors is an integer number (263249088648).

Almost surely, 2^{10605226010500} is an apocalyptic number.

10605226010500 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 10605226010500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12635956255104).

10605226010500 is an abundant number, since it is smaller than the sum of its proper divisors (14666686499708).

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

10605226010500 is a wasteful number, since it uses less digits than its factorization.

10605226010500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341870 (or 341858 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 10605226010500 in words is "ten trillion, six hundred five billion, two hundred twenty-six million, ten thousand, five hundred".