103628070 has 96 divisors (see below), whose sum is σ = 331636032. Its totient is φ = 21862656.

The previous prime is 103628059. The next prime is 103628089. The reversal of 103628070 is 70826301.

103628070 is nontrivially palindromic in base 16.

It is a super-3 number, since 3×103628070³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

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, 1864 + ... + 14516.

It is an arithmetic number, because the mean of its divisors is an integer number (3454542).

Almost surely, 2^103628070 is an apocalyptic number.

103628070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103628070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165818016).

103628070 is an abundant number, since it is smaller than the sum of its proper divisors (228007962).

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

103628070 is a wasteful number, since it uses less digits than its factorization.

103628070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12686 (or 12683 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 103628070 is about 10179.7873258728. The cubic root of 103628070 is about 469.7056705560.

The spelling of 103628070 in words is "one hundred three million, six hundred twenty-eight thousand, seventy".