103787880 has 192 divisors, whose sum is σ = 381672000. Its totient is φ = 22450176.

The previous prime is 103787869. The next prime is 103787911. The reversal of 103787880 is 88787301.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 111256 + ... + 112184.

It is an arithmetic number, because the mean of its divisors is an integer number (1987875).

Almost surely, 2^103787880 is an apocalyptic number.

103787880 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 103787880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190836000).

103787880 is an abundant number, since it is smaller than the sum of its proper divisors (277884120).

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

103787880 is a wasteful number, since it uses less digits than its factorization.

103787880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 976 (or 965 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 42.

The square root of 103787880 is about 10187.6336801045. The cubic root of 103787880 is about 469.9469987012.

The spelling of 103787880 in words is "one hundred three million, seven hundred eighty-seven thousand, eight hundred eighty".