101123660 has 48 divisors (see below), whose sum is σ = 233845920. Its totient is φ = 36426240.

The previous prime is 101123653. The next prime is 101123717. The reversal of 101123660 is 66321101.

It is a super-2 number, since 2×101123660² = 20451989223591200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21872 + ... + 26088.

It is an arithmetic number, because the mean of its divisors is an integer number (4871790).

Almost surely, 2^101123660 is an apocalyptic number.

101123660 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 101123660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116922960).

101123660 is an abundant number, since it is smaller than the sum of its proper divisors (132722260).

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

101123660 is a wasteful number, since it uses less digits than its factorization.

101123660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4346 (or 4344 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 101123660 is about 10056.0260540633. The cubic root of 101123660 is about 465.8909345842.

Adding to 101123660 its reverse (66321101), we get a palindrome (167444761).

The spelling of 101123660 in words is "one hundred one million, one hundred twenty-three thousand, six hundred sixty".