264105030 has 128 divisors (see below), whose sum is σ = 793774080. Its totient is φ = 54835200.

The previous prime is 264105029. The next prime is 264105053. The reversal of 264105030 is 30501462.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 264104988 and 264105006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 102255 + ... + 104805.

It is an arithmetic number, because the mean of its divisors is an integer number (6201360).

Almost surely, 2^264105030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 264105030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396887040).

264105030 is an abundant number, since it is smaller than the sum of its proper divisors (529669050).

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

264105030 is a wasteful number, since it uses less digits than its factorization.

264105030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 264105030 is about 16251.3085626973. The cubic root of 264105030 is about 641.5919272781.

Adding to 264105030 its reverse (30501462), we get a palindrome (294606492).

The spelling of 264105030 in words is "two hundred sixty-four million, one hundred five thousand, thirty".