10430536900 has 81 divisors (see below), whose sum is σ = 26347714029. Its totient is φ = 3573732960.

The previous prime is 10430536867. The next prime is 10430536901. The reversal of 10430536900 is 963503401.

The square root of 10430536900 is 102130.

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., 3754993284 + 6675543616 = 61278^2 + 81704^2 .

It is a super-2 number, since 2×10430536900² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10430536901) 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, 7148371 + ... + 7149829.

Almost surely, 2^10430536900 is an apocalyptic number.

10430536900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10430536900 is the 102130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10430536900

10430536900 is an abundant number, since it is smaller than the sum of its proper divisors (15917177129).

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

10430536900 is an equidigital number, since it uses as much as digits as its factorization.

10430536900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 1473 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 10430536900 in words is "ten billion, four hundred thirty million, five hundred thirty-six thousand, nine hundred".