101620 has 12 divisors (see below), whose sum is σ = 213444. Its totient is φ = 40640.

The previous prime is 101611. The next prime is 101627. The reversal of 101620 is 26101.

It can be written as a sum of positive squares in 2 ways, for example, as 24336 + 77284 = 156^2 + 278^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101597 and 101606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101627) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2521 + ... + 2560.

It is an arithmetic number, because the mean of its divisors is an integer number (17787).

2¹⁰¹⁶²⁰ is an apocalyptic number.

101620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101620 is an abundant number, since it is smaller than the sum of its proper divisors (111824).

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

101620 is a wasteful number, since it uses less digits than its factorization.

101620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5090 (or 5088 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 101620 is about 318.7789202567. The cubic root of 101620 is about 46.6651926972.

Adding to 101620 its reverse (26101), we get a palindrome (127721).

The spelling of 101620 in words is "one hundred one thousand, six hundred twenty".