10134448900 has 27 divisors (see below), whose sum is σ = 21993938869. Its totient is φ = 4053376880.

The previous prime is 10134448897. The next prime is 10134448949. The reversal of 10134448900 is 984443101.

The square root of 10134448900 is 100670.

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., 3648401604 + 6486047296 = 60402^2 + 80536^2 .

It is a super-3 number, since 3×10134448900³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1001667 + ... + 1011733.

Almost surely, 2^10134448900 is an apocalyptic number.

10134448900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10134448900 is the 100670-th square number.

It is an amenable number.

10134448900 is an abundant number, since it is smaller than the sum of its proper divisors (11859489969).

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

10134448900 is an frugal number, since it uses more digits than its factorization.

10134448900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20148 (or 10074 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 34.

The spelling of 10134448900 in words is "ten billion, one hundred thirty-four million, four hundred forty-eight thousand, nine hundred".