106876368 has 160 divisors (see below), whose sum is σ = 334800000. Its totient is φ = 32514048.

The previous prime is 106876351. The next prime is 106876369. The reversal of 106876368 is 863678601.

106876368 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 7 + 636 + 8 = 666.

It is a super-2 number, since 2×106876368² = 22845116073742848, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106876369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 237808 + ... + 238256.

It is an arithmetic number, because the mean of its divisors is an integer number (2092500).

Almost surely, 2^106876368 is an apocalyptic number.

106876368 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 106876368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167400000).

106876368 is an abundant number, since it is smaller than the sum of its proper divisors (227923632).

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

106876368 is a wasteful number, since it uses less digits than its factorization.

106876368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 106876368 is about 10338.1027272900. The cubic root of 106876368 is about 474.5630226864.

The spelling of 106876368 in words is "one hundred six million, eight hundred seventy-six thousand, three hundred sixty-eight".