103770016 has 48 divisors (see below), whose sum is σ = 239198400. Its totient is φ = 43384320.

The previous prime is 103769977. The next prime is 103770019. The reversal of 103770016 is 610077301.

It is not an unprimeable number, because it can be changed into a prime (103770019) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3535 + ... + 14833.

It is an arithmetic number, because the mean of its divisors is an integer number (4983300).

Almost surely, 2^103770016 is an apocalyptic number.

103770016 is a gapful number since it is divisible by the number (16) 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 103770016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119599200).

103770016 is an abundant number, since it is smaller than the sum of its proper divisors (135428384).

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

103770016 is a wasteful number, since it uses less digits than its factorization.

103770016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11357 (or 11349 counting only the distinct ones).

The product of its (nonzero) digits is 882, while the sum is 25.

The square root of 103770016 is about 10186.7568931432. The cubic root of 103770016 is about 469.9200346829.

The spelling of 103770016 in words is "one hundred three million, seven hundred seventy thousand, sixteen".