105235331862465 has 256 divisors, whose sum is σ = 225876175257600. Its totient is φ = 45481796130816.

The previous prime is 105235331862457. The next prime is 105235331862467. The reversal of 105235331862465 is 564268133532501.

105235331862465 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 3 + 5 + 3 + 3 + 1 + 8 + 624 + 6 + 5 = 666.

It is not a de Polignac number, because 105235331862465 - 2³ = 105235331862457 is a prime.

It is a super-2 number, since 2×105235331862465² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105235331862467) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 228195997 + ... + 228656693.

It is an arithmetic number, because the mean of its divisors is an integer number (882328809600).

Almost surely, 2^{105235331862465} is an apocalyptic number.

105235331862465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105235331862465 is an abundant number, since it is smaller than the sum of its proper divisors (120640843395135).

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

105235331862465 is a wasteful number, since it uses less digits than its factorization.

105235331862465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460941 (or 460935 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 54.

The spelling of 105235331862465 in words is "one hundred five trillion, two hundred thirty-five billion, three hundred thirty-one million, eight hundred sixty-two thousand, four hundred sixty-five".