10106660561500 has 96 divisors (see below), whose sum is σ = 22107964342464. Its totient is φ = 4036255027200.

The previous prime is 10106660561497. The next prime is 10106660561537. The reversal of 10106660561500 is 516506660101.

It is a self number, because there is not a number n which added to its sum of digits gives 10106660561500.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1725566572 + ... + 1725572428.

It is an arithmetic number, because the mean of its divisors is an integer number (230291295234).

Almost surely, 2^{10106660561500} is an apocalyptic number.

10106660561500 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 10106660561500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11053982171232).

10106660561500 is an abundant number, since it is smaller than the sum of its proper divisors (12001303780964).

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

10106660561500 is a wasteful number, since it uses less digits than its factorization.

10106660561500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10760 (or 10748 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 10106660561500 in words is "ten trillion, one hundred six billion, six hundred sixty million, five hundred sixty-one thousand, five hundred".