106687368 has 160 divisors (see below), whose sum is σ = 317813760. Its totient is φ = 33384960.

The previous prime is 106687351. The next prime is 106687379. The reversal of 106687368 is 863786601.

It is a super-2 number, since 2×106687368² = 22764388981534848, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 944080 + ... + 944192.

It is an arithmetic number, because the mean of its divisors is an integer number (1986336).

Almost surely, 2^106687368 is an apocalyptic number.

106687368 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 106687368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158906880).

106687368 is an abundant number, since it is smaller than the sum of its proper divisors (211126392).

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

106687368 is a wasteful number, since it uses less digits than its factorization.

106687368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 196 counting only the distinct ones).

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

The square root of 106687368 is about 10328.9577402563. The cubic root of 106687368 is about 474.2831187949.

The spelling of 106687368 in words is "one hundred six million, six hundred eighty-seven thousand, three hundred sixty-eight".