107163648 has 260 divisors, whose sum is σ = 356799960. Its totient is φ = 31850496.

The previous prime is 107163577. The next prime is 107163659. The reversal of 107163648 is 846361701.

107163648 is a `hidden beast` number, since 1 + 0 + 7 + 1 + 6 + 3 + 648 = 666.

It is a super-2 number, since 2×107163648² = 22968094905335808, which contains 22 as substring.

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

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5640183 + ... + 5640201.

Almost surely, 2^107163648 is an apocalyptic number.

107163648 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 107163648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178399980).

107163648 is an abundant number, since it is smaller than the sum of its proper divisors (249636312).

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

107163648 is an equidigital number, since it uses as much as digits as its factorization.

107163648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 107163648 is about 10351.9876352322. The cubic root of 107163648 is about 474.9878453030.

The spelling of 107163648 in words is "one hundred seven million, one hundred sixty-three thousand, six hundred forty-eight".