103434091200 has 1512 divisors, whose sum is σ = 441098330400. Its totient is φ = 22897459200.

The previous prime is 103434091199. The next prime is 103434091273. The reversal of 103434091200 is 2190434301.

103434091200 is a `hidden beast` number, since 1 + 0 + 34 + 340 + 91 + 200 = 666.

It is a super-2 number, since 2×103434091200² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1162180756 + ... + 1162180844.

It is an arithmetic number, because the mean of its divisors is an integer number (291731700).

Almost surely, 2^103434091200 is an apocalyptic number.

103434091200 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 103434091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220549165200).

103434091200 is an abundant number, since it is smaller than the sum of its proper divisors (337664239200).

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

103434091200 is a wasteful number, since it uses less digits than its factorization.

103434091200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The spelling of 103434091200 in words is "one hundred three billion, four hundred thirty-four million, ninety-one thousand, two hundred".