106316988450 has 192 divisors, whose sum is σ = 280044933120. Its totient is φ = 26651520000.

The previous prime is 106316988431. The next prime is 106316988451. The reversal of 106316988450 is 54889613601.

It is a super-2 number, since 2×106316988450² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106316988393 and 106316988402.

It is not an unprimeable number, because it can be changed into a prime (106316988451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26798367 + ... + 26802333.

It is an arithmetic number, because the mean of its divisors is an integer number (1458567360).

Almost surely, 2^106316988450 is an apocalyptic number.

106316988450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106316988450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140022466560).

106316988450 is an abundant number, since it is smaller than the sum of its proper divisors (173727944670).

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

106316988450 is a wasteful number, since it uses less digits than its factorization.

106316988450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4173 (or 4168 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 106316988450 in words is "one hundred six billion, three hundred sixteen million, nine hundred eighty-eight thousand, four hundred fifty".