106519968 has 192 divisors, whose sum is σ = 331914240. Its totient is φ = 33177600.

The previous prime is 106519949. The next prime is 106519979. The reversal of 106519968 is 869915601.

It is a super-2 number, since 2×106519968² = 22693007165442048, which contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1098096 + ... + 1098192.

It is an arithmetic number, because the mean of its divisors is an integer number (1728720).

Almost surely, 2^106519968 is an apocalyptic number.

106519968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106519968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165957120).

106519968 is an abundant number, since it is smaller than the sum of its proper divisors (225394272).

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

106519968 is a wasteful number, since it uses less digits than its factorization.

106519968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 106519968 is about 10320.8511276929. The cubic root of 106519968 is about 474.0349277258.

The spelling of 106519968 in words is "one hundred six million, five hundred nineteen thousand, nine hundred sixty-eight".