103528979400 has 576 divisors, whose sum is σ = 407357677440. Its totient is φ = 21288960000.

The previous prime is 103528979387. The next prime is 103528979429. The reversal of 103528979400 is 4979825301.

It is a self number, because there is not a number n which added to its sum of digits gives 103528979400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 51327192 + ... + 51329208.

It is an arithmetic number, because the mean of its divisors is an integer number (707218190).

Almost surely, 2^103528979400 is an apocalyptic number.

103528979400 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 103528979400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203678838720).

103528979400 is an abundant number, since it is smaller than the sum of its proper divisors (303828698040).

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

103528979400 is a wasteful number, since it uses less digits than its factorization.

103528979400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2166 (or 2146 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 103528979400 in words is "one hundred three billion, five hundred twenty-eight million, nine hundred seventy-nine thousand, four hundred".