10105606100 has 72 divisors (see below), whose sum is σ = 22155456960. Its totient is φ = 4000756480.

The previous prime is 10105606099. The next prime is 10105606111. The reversal of 10105606100 is 160650101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

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 23 ways as a sum of consecutive naturals, for example, 4169489 + ... + 4171911.

It is an arithmetic number, because the mean of its divisors is an integer number (307714680).

Almost surely, 2^10105606100 is an apocalyptic number.

10105606100 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 10105606100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11077728480).

10105606100 is an abundant number, since it is smaller than the sum of its proper divisors (12049850860).

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

10105606100 is a wasteful number, since it uses less digits than its factorization.

10105606100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2849 (or 2842 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 10105606100 in words is "ten billion, one hundred five million, six hundred six thousand, one hundred".