105233552460 has 60 divisors (see below), whose sum is σ = 330121556688. Its totient is φ = 28062280224.

The previous prime is 105233552453. The next prime is 105233552483. The reversal of 105233552460 is 64255332501.

105233552460 is a `hidden beast` number, since 1 + 0 + 523 + 3 + 55 + 24 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×105233552460² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32477872 + ... + 32481111.

Almost surely, 2^105233552460 is an apocalyptic number.

105233552460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105233552460 is an abundant number, since it is smaller than the sum of its proper divisors (224888004228).

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

105233552460 is a wasteful number, since it uses less digits than its factorization.

105233552460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64959004 (or 64958993 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 105233552460 its reverse (64255332501), we get a palindrome (169488884961).

The spelling of 105233552460 in words is "one hundred five billion, two hundred thirty-three million, five hundred fifty-two thousand, four hundred sixty".