103787040 has 384 divisors, whose sum is σ = 418037760. Its totient is φ = 21086208.

The previous prime is 103787009. The next prime is 103787041. The reversal of 103787040 is 40787301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 103786989 and 103787007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103787041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1313721 + ... + 1313799.

It is an arithmetic number, because the mean of its divisors is an integer number (1088640).

Almost surely, 2^103787040 is an apocalyptic number.

103787040 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 103787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209018880).

103787040 is an abundant number, since it is smaller than the sum of its proper divisors (314250720).

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

103787040 is a wasteful number, since it uses less digits than its factorization.

103787040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 103787040 is about 10187.5924535682. The cubic root of 103787040 is about 469.9457308699.

The spelling of 103787040 in words is "one hundred three million, seven hundred eighty-seven thousand, forty".