123315405150105 has 96 divisors (see below), whose sum is σ = 247978756067328. Its totient is φ = 55521288950400.

The previous prime is 123315405150101. The next prime is 123315405150169. The reversal of 123315405150105 is 501051504513321.

123315405150105 is a `hidden beast` number, since 1 + 2 + 3 + 3 + 1 + 540 + 5 + 1 + 5 + 0 + 105 = 666.

It is not a de Polignac number, because 123315405150105 - 2² = 123315405150101 is a prime.

It is a super-2 number, since 2×123315405150105² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 123315405150105.

It is not an unprimeable number, because it can be changed into a prime (123315405150101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18775990 + ... + 24477920.

It is an arithmetic number, because the mean of its divisors is an integer number (2583112042368).

Almost surely, 2^{123315405150105} is an apocalyptic number.

123315405150105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

123315405150105 is an abundant number, since it is smaller than the sum of its proper divisors (124663350917223).

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

123315405150105 is a wasteful number, since it uses less digits than its factorization.

123315405150105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5702987 (or 5702984 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 36.

Adding to 123315405150105 its reverse (501051504513321), we get a palindrome (624366909663426).

The spelling of 123315405150105 in words is "one hundred twenty-three trillion, three hundred fifteen billion, four hundred five million, one hundred fifty thousand, one hundred five".