123745104 has 160 divisors (see below), whose sum is σ = 410132480. Its totient is φ = 34992000.

The previous prime is 123745079. The next prime is 123745109. The reversal of 123745104 is 401547321.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123745109) 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 31 ways as a sum of consecutive naturals, for example, 456489 + ... + 456759.

It is an arithmetic number, because the mean of its divisors is an integer number (2563328).

Almost surely, 2^123745104 is an apocalyptic number.

123745104 is a gapful number since it is divisible by the number (14) 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 123745104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205066240).

123745104 is an abundant number, since it is smaller than the sum of its proper divisors (286387376).

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

123745104 is a wasteful number, since it uses less digits than its factorization.

123745104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 123745104 is about 11124.0776696318. The cubic root of 123745104 is about 498.3211747337.

The spelling of 123745104 in words is "one hundred twenty-three million, seven hundred forty-five thousand, one hundred four".