105642453264 has 80 divisors (see below), whose sum is σ = 283284993600. Its totient is φ = 33883698688.

The previous prime is 105642453247. The next prime is 105642453281. The reversal of 105642453264 is 462354246501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105642453247) and next prime (105642453281).

It is a super-2 number, since 2×105642453264² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 278347 + ... + 537365.

It is an arithmetic number, because the mean of its divisors is an integer number (3541062420).

Almost surely, 2^105642453264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105642453264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141642496800).

105642453264 is an abundant number, since it is smaller than the sum of its proper divisors (177642540336).

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

105642453264 is a wasteful number, since it uses less digits than its factorization.

105642453264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259352 (or 259346 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 42.

Adding to 105642453264 its reverse (462354246501), we get a palindrome (567996699765).

The spelling of 105642453264 in words is "one hundred five billion, six hundred forty-two million, four hundred fifty-three thousand, two hundred sixty-four".