105121464465 has 64 divisors (see below), whose sum is σ = 181864051200. Its totient is φ = 51691014144.

The previous prime is 105121464443. The next prime is 105121464467. The reversal of 105121464465 is 564464121501.

It is not a de Polignac number, because 105121464465 - 2¹⁵ = 105121431697 is a prime.

It is a super-2 number, since 2×105121464465² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105121464467) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6164571 + ... + 6181599.

It is an arithmetic number, because the mean of its divisors is an integer number (2841625800).

Almost surely, 2^105121464465 is an apocalyptic number.

105121464465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105121464465 is a deficient number, since it is larger than the sum of its proper divisors (76742586735).

105121464465 is a wasteful number, since it uses less digits than its factorization.

105121464465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17706.

The product of its (nonzero) digits is 115200, while the sum is 39.

Adding to 105121464465 its reverse (564464121501), we get a palindrome (669585585966).

The spelling of 105121464465 in words is "one hundred five billion, one hundred twenty-one million, four hundred sixty-four thousand, four hundred sixty-five".