103405012200 has 288 divisors, whose sum is σ = 397225171200. Its totient is φ = 23614778880.

The previous prime is 103405012157. The next prime is 103405012219. The reversal of 103405012200 is 2210504301.

103405012200 is a `hidden beast` number, since 103 + 40 + 501 + 2 + 20 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 18002529 + ... + 18008271.

Almost surely, 2^103405012200 is an apocalyptic number.

103405012200 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 103405012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198612585600).

103405012200 is an abundant number, since it is smaller than the sum of its proper divisors (293820159000).

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

103405012200 is a wasteful number, since it uses less digits than its factorization.

103405012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7201 (or 7189 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 103405012200 its reverse (2210504301), we get a palindrome (105615516501).

The spelling of 103405012200 in words is "one hundred three billion, four hundred five million, twelve thousand, two hundred".