107868672 has 210 divisors, whose sum is σ = 343268673. Its totient is φ = 33841152.

The previous prime is 107868671. The next prime is 107868701. The reversal of 107868672 is 276868701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 98724096 + 9144576 = 9936^2 + 3024^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7344.

It is not an unprimeable number, because it can be changed into a prime (107868671) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 6345208 + ... + 6345224.

Almost surely, 2^107868672 is an apocalyptic number.

107868672 is a gapful number since it is divisible by the number (12) 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 107868672

107868672 is an abundant number, since it is smaller than the sum of its proper divisors (235400001).

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

107868672 is an frugal number, since it uses more digits than its factorization.

107868672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 107868672 is about 10385.9844020680. The cubic root of 107868672 is about 476.0272093290.

Multiplying 107868672 by its product of nonzero digits (225792), we get a square (24355883188224 = 4935168²).

The spelling of 107868672 in words is "one hundred seven million, eight hundred sixty-eight thousand, six hundred seventy-two".