106037568 has 378 divisors, whose sum is σ = 404471886. Its totient is φ = 26320896.

The previous prime is 106037549. The next prime is 106037599. The reversal of 106037568 is 865730601.

106037568 is a `hidden beast` number, since 1 + 0 + 60 + 37 + 568 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 23736384 + 82301184 = 4872^2 + 9072^2 .

It is a super-2 number, since 2×106037568² = 22487931654709248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 53 ways as a sum of consecutive naturals, for example, 6237496 + ... + 6237512.

Almost surely, 2^106037568 is an apocalyptic number.

106037568 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 106037568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202235943).

106037568 is an abundant number, since it is smaller than the sum of its proper divisors (298434318).

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

106037568 is a wasteful number, since it uses less digits than its factorization.

106037568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 106037568 is about 10297.4544427252. The cubic root of 106037568 is about 473.3182529525.

The spelling of 106037568 in words is "one hundred six million, thirty-seven thousand, five hundred sixty-eight".