103433430404010 has 256 divisors, whose sum is σ = 302613667614720. Its totient is φ = 22086688296960.

The previous prime is 103433430403991. The next prime is 103433430404039. The reversal of 103433430404010 is 10404034334301.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2848838277 + ... + 2848874583.

It is an arithmetic number, because the mean of its divisors is an integer number (1182084639120).

Almost surely, 2^{103433430404010} is an apocalyptic number.

103433430404010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103433430404010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151306833807360).

103433430404010 is an abundant number, since it is smaller than the sum of its proper divisors (199180237210710).

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

103433430404010 is a wasteful number, since it uses less digits than its factorization.

103433430404010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42221.

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 103433430404010 its reverse (10404034334301), we get a palindrome (113837464738311).

The spelling of 103433430404010 in words is "one hundred three trillion, four hundred thirty-three billion, four hundred thirty million, four hundred four thousand, ten".