103776640 has 64 divisors (see below), whose sum is σ = 270663120. Its totient is φ = 37734400.

The previous prime is 103776637. The next prime is 103776671. The reversal of 103776640 is 46677301.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 103776596 and 103776605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 331 + ... + 14410.

Almost surely, 2^103776640 is an apocalyptic number.

103776640 is a gapful number since it is divisible by the number (10) 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 103776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135331560).

103776640 is an abundant number, since it is smaller than the sum of its proper divisors (166886480).

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

103776640 is a wasteful number, since it uses less digits than its factorization.

103776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14771 (or 14759 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 34.

The square root of 103776640 is about 10187.0820159651. The cubic root of 103776640 is about 469.9300333453.

It can be divided in two parts, 1037 and 76640, that added together give a palindrome (77677).

The spelling of 103776640 in words is "one hundred three million, seven hundred seventy-six thousand, six hundred forty".