9488708100 has 243 divisors, whose sum is σ = 31760541631. Its totient is φ = 2369011200.

The previous prime is 9488708087. The next prime is 9488708113. The reversal of 9488708100 is 18078849.

The square root of 9488708100 is 97410.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (9488708087) and next prime (9488708113).

It can be written as a sum of positive squares in 4 ways, for example, as 221950404 + 9266757696 = 14898^2 + 96264^2 .

It is a super-2 number, since 2×9488708100² (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 80 ways as a sum of consecutive naturals, for example, 49679005 + ... + 49679195.

Almost surely, 2^9488708100 is an apocalyptic number.

9488708100 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

9488708100 is the 97410-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9488708100

9488708100 is an abundant number, since it is smaller than the sum of its proper divisors (22271833531).

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

9488708100 is a wasteful number, since it uses less digits than its factorization.

9488708100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The cubic root of 9488708100 is about 2117.0723279234.

The spelling of 9488708100 in words is "nine billion, four hundred eighty-eight million, seven hundred eight thousand, one hundred".