103761648 has 150 divisors (see below), whose sum is σ = 318774984. Its totient is φ = 32522688.

The previous prime is 103761607. The next prime is 103761649. The reversal of 103761648 is 846167301.

103761648 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 6 + 1 + 648 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103761649) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1758643 + ... + 1758701.

Almost surely, 2^103761648 is an apocalyptic number.

103761648 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 103761648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159387492).

103761648 is an abundant number, since it is smaller than the sum of its proper divisors (215013336).

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

103761648 is an equidigital number, since it uses as much as digits as its factorization.

103761648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 87 counting only the distinct ones).

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

The square root of 103761648 is about 10186.3461555162. The cubic root of 103761648 is about 469.9074029141.

The spelling of 103761648 in words is "one hundred three million, seven hundred sixty-one thousand, six hundred forty-eight".