101105620 has 144 divisors (see below), whose sum is σ = 275099328. Its totient is φ = 30858240.

The previous prime is 101105617. The next prime is 101105621. The reversal of 101105620 is 26501101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101105594 and 101105603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101105621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 894684 + ... + 894796.

It is an arithmetic number, because the mean of its divisors is an integer number (1910412).

Almost surely, 2^101105620 is an apocalyptic number.

101105620 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 101105620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137549664).

101105620 is an abundant number, since it is smaller than the sum of its proper divisors (173993708).

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

101105620 is a wasteful number, since it uses less digits than its factorization.

101105620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

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

The square root of 101105620 is about 10055.1290394505. The cubic root of 101105620 is about 465.8632286636.

Adding to 101105620 its reverse (26501101), we get a palindrome (127606721).

The spelling of 101105620 in words is "one hundred one million, one hundred five thousand, six hundred twenty".