106168896 has 42 divisors (see below), whose sum is σ = 304315622. Its totient is φ = 35389440.

The previous prime is 106168879. The next prime is 106168919. The reversal of 106168896 is 698861601.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 101606400 + 4562496 = 10080^2 + 2136^2 .

It is a super-2 number, since 2×106168896² = 22543668955717632, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 91585 + ... + 92736.

Almost surely, 2^106168896 is an apocalyptic number.

106168896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106168896 is an abundant number, since it is smaller than the sum of its proper divisors (198146726).

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

106168896 is a wasteful number, since it uses less digits than its factorization.

106168896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184339 (or 184326 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 106168896 is about 10303.8291911308. The cubic root of 106168896 is about 473.5135745935.

The spelling of 106168896 in words is "one hundred six million, one hundred sixty-eight thousand, eight hundred ninety-six".