10106000605500 has 384 divisors, whose sum is σ = 31294012538880. Its totient is φ = 2529433267200.

The previous prime is 10106000605457. The next prime is 10106000605517. The reversal of 10106000605500 is 550600060101.

It is a congruent number.

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, 2522084497 + ... + 2522088503.

It is an arithmetic number, because the mean of its divisors is an integer number (81494824320).

Almost surely, 2^{10106000605500} is an apocalyptic number.

10106000605500 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 10106000605500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15647006269440).

10106000605500 is an abundant number, since it is smaller than the sum of its proper divisors (21188011933380).

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

10106000605500 is a wasteful number, since it uses less digits than its factorization.

10106000605500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 10106000605500 its reverse (550600060101), we get a palindrome (10656600665601).

The spelling of 10106000605500 in words is "ten trillion, one hundred six billion, six hundred five thousand, five hundred".