101123505 has 48 divisors (see below), whose sum is σ = 209139840. Its totient is φ = 46224864.

The previous prime is 101123489. The next prime is 101123509. The reversal of 101123505 is 505321101.

It is not a de Polignac number, because 101123505 - 2⁴ = 101123489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101123509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1029 + ... + 14258.

It is an arithmetic number, because the mean of its divisors is an integer number (4357080).

Almost surely, 2^101123505 is an apocalyptic number.

101123505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101123505 is an abundant number, since it is smaller than the sum of its proper divisors (108016335).

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

101123505 is a wasteful number, since it uses less digits than its factorization.

101123505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15315 (or 15302 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 101123505 is about 10056.0183472386. The cubic root of 101123505 is about 465.8906965485.

Adding to 101123505 its reverse (505321101), we get a palindrome (606444606).

The spelling of 101123505 in words is "one hundred one million, one hundred twenty-three thousand, five hundred five".