103430206656 has 336 divisors, whose sum is σ = 348120614400. Its totient is φ = 29347315200.

The previous prime is 103430206643. The next prime is 103430206657. The reversal of 103430206656 is 656602034301.

103430206656 is a `hidden beast` number, since 10 + 3 + 430 + 206 + 6 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 103430206656.

It is not an unprimeable number, because it can be changed into a prime (103430206657) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29831035 + ... + 29834501.

Almost surely, 2^103430206656 is an apocalyptic number.

103430206656 is a gapful number since it is divisible by the number (16) 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 103430206656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174060307200).

103430206656 is an abundant number, since it is smaller than the sum of its proper divisors (244690407744).

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

103430206656 is a wasteful number, since it uses less digits than its factorization.

103430206656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3657 (or 3630 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 103430206656 in words is "one hundred three billion, four hundred thirty million, two hundred six thousand, six hundred fifty-six".