103927680 has 96 divisors (see below), whose sum is σ = 358895160. Its totient is φ = 27712512.

The previous prime is 103927667. The next prime is 103927699. The reversal of 103927680 is 86729301.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3262 + ... + 14781.

Almost surely, 2^103927680 is an apocalyptic number.

103927680 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 103927680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179447580).

103927680 is an abundant number, since it is smaller than the sum of its proper divisors (254967480).

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

103927680 is a wasteful number, since it uses less digits than its factorization.

103927680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18068 (or 18053 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 103927680 is about 10194.4926308277. The cubic root of 103927680 is about 470.1579068030.

The spelling of 103927680 in words is "one hundred three million, nine hundred twenty-seven thousand, six hundred eighty".