10100105620 has 48 divisors (see below), whose sum is σ = 24499516608. Its totient is φ = 3456719360.

The previous prime is 10100105597. The next prime is 10100105627. The reversal of 10100105620 is 2650100101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10100105594 and 10100105603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100105627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1346542 + ... + 1354021.

It is an arithmetic number, because the mean of its divisors is an integer number (510406596).

Almost surely, 2^10100105620 is an apocalyptic number.

10100105620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100105620 is an abundant number, since it is smaller than the sum of its proper divisors (14399410988).

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

10100105620 is a wasteful number, since it uses less digits than its factorization.

10100105620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2700600 (or 2700598 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 10100105620 its reverse (2650100101), we get a palindrome (12750205721).

The spelling of 10100105620 in words is "ten billion, one hundred million, one hundred five thousand, six hundred twenty".