10205406120630 has 64 divisors (see below), whose sum is σ = 28146622952448. Its totient is φ = 2319776599680.

The previous prime is 10205406120629. The next prime is 10205406120653. The reversal of 10205406120630 is 3602160450201.

It is a super-2 number, since 2×10205406120630² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134208322 + ... + 134284341.

It is an arithmetic number, because the mean of its divisors is an integer number (439790983632).

Almost surely, 2^{10205406120630} is an apocalyptic number.

10205406120630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10205406120630 is an abundant number, since it is smaller than the sum of its proper divisors (17941216831818).

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

10205406120630 is a wasteful number, since it uses less digits than its factorization.

10205406120630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268492861.

The product of its (nonzero) digits is 8640, while the sum is 30.

Adding to 10205406120630 its reverse (3602160450201), we get a palindrome (13807566570831).

The spelling of 10205406120630 in words is "ten trillion, two hundred five billion, four hundred six million, one hundred twenty thousand, six hundred thirty".