101123136 has 63 divisors (see below), whose sum is σ = 290544631. Its totient is φ = 33627264.

The previous prime is 101123129. The next prime is 101123137. The reversal of 101123136 is 631321101.

The square root of 101123136 is 10056.

It is a perfect power (a square), and thus also a powerful number.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101123137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 241135 + ... + 241553.

Almost surely, 2^101123136 is an apocalyptic number.

101123136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

101123136 is the 10056-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101123136

101123136 is an abundant number, since it is smaller than the sum of its proper divisors (189421495).

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

101123136 is an frugal number, since it uses more digits than its factorization.

101123136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 856 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The cubic root of 101123136 is about 465.8901298689.

Adding to 101123136 its reverse (631321101), we get a palindrome (732444237).

The spelling of 101123136 in words is "one hundred one million, one hundred twenty-three thousand, one hundred thirty-six".