103747820 has 72 divisors (see below), whose sum is σ = 245292432. Its totient is φ = 36812160.

The previous prime is 103747807. The next prime is 103747823. The reversal of 103747820 is 28747301.

It is a happy number.

It is a super-2 number, since 2×103747820² = 21527220309504800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103747823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103562 + ... + 104558.

Almost surely, 2^103747820 is an apocalyptic number.

103747820 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 103747820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122646216).

103747820 is an abundant number, since it is smaller than the sum of its proper divisors (141544612).

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

103747820 is a wasteful number, since it uses less digits than its factorization.

103747820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1071 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 103747820 is about 10185.6673811783. The cubic root of 103747820 is about 469.8865276088.

The spelling of 103747820 in words is "one hundred three million, seven hundred forty-seven thousand, eight hundred twenty".