101260404630 has 288 divisors, whose sum is σ = 353758972320. Its totient is φ = 19803248640.

The previous prime is 101260404593. The next prime is 101260404643. The reversal of 101260404630 is 36404062101.

101260404630 is a `hidden beast` number, since 1 + 0 + 1 + 26 + 0 + 4 + 0 + 4 + 630 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 101260404594 and 101260404603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 763276 + ... + 886064.

It is an arithmetic number, because the mean of its divisors is an integer number (1228329765).

Almost surely, 2^101260404630 is an apocalyptic number.

101260404630 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 101260404630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176879486160).

101260404630 is an abundant number, since it is smaller than the sum of its proper divisors (252498567690).

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

101260404630 is a wasteful number, since it uses less digits than its factorization.

101260404630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122844 (or 122834 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 101260404630 its reverse (36404062101), we get a palindrome (137664466731).

The spelling of 101260404630 in words is "one hundred one billion, two hundred sixty million, four hundred four thousand, six hundred thirty".