106151368 has 64 divisors (see below), whose sum is σ = 214326000. Its totient is φ = 49201152.

The previous prime is 106151359. The next prime is 106151399. The reversal of 106151368 is 863151601.

It can be written as a sum of positive squares in 8 ways, for example, as 46212804 + 59938564 = 6798^2 + 7742^2 .

It is a super-2 number, since 2×106151368² = 22536225856542848, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1094296 + ... + 1094392.

Almost surely, 2^106151368 is an apocalyptic number.

It is an amenable number.

106151368 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

106151368 is a wasteful number, since it uses less digits than its factorization.

106151368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 106151368 is about 10302.9785984442. The cubic root of 106151368 is about 473.4875148496.

The spelling of 106151368 in words is "one hundred six million, one hundred fifty-one thousand, three hundred sixty-eight".