123367104 has 336 divisors, whose sum is σ = 444764160. Its totient is φ = 33384960.

The previous prime is 123367103. The next prime is 123367121. The reversal of 123367104 is 401763321.

123367104 = 67³ + 68³ + ... + 150³.

It is a tau number, because it is divible by the number of its divisors (336).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (123367103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2624809 + ... + 2624855.

Almost surely, 2^123367104 is an apocalyptic number.

123367104 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 123367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222382080).

123367104 is an abundant number, since it is smaller than the sum of its proper divisors (321397056).

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

123367104 is a wasteful number, since it uses less digits than its factorization.

123367104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 123367104 is about 11107.0745023161. The cubic root of 123367104 is about 497.8132555732.

The spelling of 123367104 in words is "one hundred twenty-three million, three hundred sixty-seven thousand, one hundred four".