108510948100 has 27 divisors (see below), whose sum is σ = 235475905791. Its totient is φ = 43403061600.

The previous prime is 108510948097. The next prime is 108510948109. The reversal of 108510948100 is 1849015801.

The square root of 108510948100 is 329410.

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

It can be written as a sum of positive squares in 4 ways, for example, as 10186057476 + 98324890624 = 100926^2 + 313568^2 .

It is a super-2 number, since 2×108510948100² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 108510948100.

It is not an unprimeable number, because it can be changed into a prime (108510948109) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3277630 + ... + 3310570.

Almost surely, 2^108510948100 is an apocalyptic number.

108510948100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

108510948100 is the 329410-th square number.

It is an amenable number.

108510948100 is an abundant number, since it is smaller than the sum of its proper divisors (126964957691).

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

108510948100 is an frugal number, since it uses more digits than its factorization.

108510948100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65896 (or 32948 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 37.

The spelling of 108510948100 in words is "one hundred eight billion, five hundred ten million, nine hundred forty-eight thousand, one hundred".