103507628 has 48 divisors (see below), whose sum is σ = 221465664. Its totient is φ = 41318400.

The previous prime is 103507571. The next prime is 103507639. The reversal of 103507628 is 826705301.

103507628 = T₄₀₇ + T₄₀₈ + ... + T₈₈₂.

It is a happy number.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 103507594 and 103507603.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47000 + ... + 49152.

It is an arithmetic number, because the mean of its divisors is an integer number (4613868).

Almost surely, 2^103507628 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103507628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110732832).

103507628 is an abundant number, since it is smaller than the sum of its proper divisors (117958036).

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

103507628 is a wasteful number, since it uses less digits than its factorization.

103507628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2280 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 103507628 is about 10173.8698635278. The cubic root of 103507628 is about 469.5236277895.

The spelling of 103507628 in words is "one hundred three million, five hundred seven thousand, six hundred twenty-eight".