9854532900 has 135 divisors (see below), whose sum is σ = 31973490241. Its totient is φ = 2625492960.

The previous prime is 9854532881. The next prime is 9854532943. The reversal of 9854532900 is 92354589.

The square root of 9854532900 is 99270.

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., 3547631844 + 6306901056 = 59562^2 + 79416^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a super-2 number, since 2×9854532900² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8933749 + ... + 8934851.

Almost surely, 2^9854532900 is an apocalyptic number.

9854532900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9854532900 is the 99270-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9854532900

9854532900 is an abundant number, since it is smaller than the sum of its proper divisors (22118957341).

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

9854532900 is a wasteful number, since it uses less digits than its factorization.

9854532900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2232 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The cubic root of 9854532900 is about 2143.9369763279.

The spelling of 9854532900 in words is "nine billion, eight hundred fifty-four million, five hundred thirty-two thousand, nine hundred".