105869118264 has 256 divisors, whose sum is σ = 363068697600. Its totient is φ = 24895807488.

The previous prime is 105869118253. The next prime is 105869118307. The reversal of 105869118264 is 462811968501.

It is a happy number.

It is a super-2 number, since 2×105869118264² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

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, 630394 + ... + 780470.

It is an arithmetic number, because the mean of its divisors is an integer number (1418237100).

Almost surely, 2^105869118264 is an apocalyptic number.

105869118264 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 105869118264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181534348800).

105869118264 is an abundant number, since it is smaller than the sum of its proper divisors (257199579336).

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

105869118264 is a wasteful number, since it uses less digits than its factorization.

105869118264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150142 (or 150138 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 105869118264 in words is "one hundred five billion, eight hundred sixty-nine million, one hundred eighteen thousand, two hundred sixty-four".