103530470400 has 792 divisors, whose sum is σ = 442221172224. Its totient is φ = 22627123200.

The previous prime is 103530470387. The next prime is 103530470419. The reversal of 103530470400 is 4074035301.

103530470400 is a `hidden beast` number, since 103 + 53 + 0 + 470 + 40 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37093005 + ... + 37095795.

Almost surely, 2^103530470400 is an apocalyptic number.

103530470400 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 103530470400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221110586112).

103530470400 is an abundant number, since it is smaller than the sum of its proper divisors (338690701824).

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

103530470400 is a wasteful number, since it uses less digits than its factorization.

103530470400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2857 (or 2831 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The spelling of 103530470400 in words is "one hundred three billion, five hundred thirty million, four hundred seventy thousand, four hundred".