101106100620 has 144 divisors (see below), whose sum is σ = 351359910720. Its totient is φ = 23053344768.

The previous prime is 101106100619. The next prime is 101106100631. The reversal of 101106100620 is 26001601101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101106100593 and 101106100602.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 417244 + ... + 613436.

It is an arithmetic number, because the mean of its divisors is an integer number (2439999380).

Almost surely, 2^101106100620 is an apocalyptic number.

101106100620 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 101106100620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175679955360).

101106100620 is an abundant number, since it is smaller than the sum of its proper divisors (250253810100).

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

101106100620 is a wasteful number, since it uses less digits than its factorization.

101106100620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196624 (or 196619 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101106100620 its reverse (26001601101), we get a palindrome (127107701721).

The spelling of 101106100620 in words is "one hundred one billion, one hundred six million, one hundred thousand, six hundred twenty".