103527828 has 48 divisors (see below), whose sum is σ = 271091520. Its totient is φ = 34164000.

The previous prime is 103527811. The next prime is 103527833. The reversal of 103527828 is 828725301.

103527828 is a `hidden beast` number, since 103 + 527 + 8 + 28 = 666.

It is a super-2 number, since 2×103527828² = 21436022340795168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103527792 and 103527801.

It is a congruent number.

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, 6163 + ... + 15653.

It is an arithmetic number, because the mean of its divisors is an integer number (5647740).

Almost surely, 2^103527828 is an apocalyptic number.

103527828 is a gapful number since it is divisible by the number (18) 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 103527828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135545760).

103527828 is an abundant number, since it is smaller than the sum of its proper divisors (167563692).

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

103527828 is a wasteful number, since it uses less digits than its factorization.

103527828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9605 (or 9597 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 103527828 is about 10174.8625543542. The cubic root of 103527828 is about 469.5541690503.

The spelling of 103527828 in words is "one hundred three million, five hundred twenty-seven thousand, eight hundred twenty-eight".