106817848900 has 405 divisors, whose sum is σ = 292762959671. Its totient is φ = 33822983040.

The previous prime is 106817848873. The next prime is 106817848919. The reversal of 106817848900 is 9848718601.

It is a happy number.

The square root of 106817848900 is 326830.

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 1468269124 + 105349579776 = 38318^2 + 324576^2 .

It is a super-2 number, since 2×106817848900² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3683374086 + ... + 3683374114.

Almost surely, 2^106817848900 is an apocalyptic number.

106817848900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106817848900 is the 326830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106817848900

106817848900 is an abundant number, since it is smaller than the sum of its proper divisors (185945110771).

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

106817848900 is an equidigital number, since it uses as much as digits as its factorization.

106817848900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 52.

The spelling of 106817848900 in words is "one hundred six billion, eight hundred seventeen million, eight hundred forty-eight thousand, nine hundred".