105402253032 has 48 divisors (see below), whose sum is σ = 285674446980. Its totient is φ = 35108236800.

The previous prime is 105402253031. The next prime is 105402253043. The reversal of 105402253032 is 230352204501.

It is a happy number.

105402253032 is a `hidden beast` number, since 1 + 0 + 5 + 402 + 253 + 0 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 102275877636 + 3126375396 = 319806^2 + 55914^2 .

It is a super-2 number, since 2×105402253032² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105402252987 and 105402253005.

It is not an unprimeable number, because it can be changed into a prime (105402253031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439819 + ... + 635802.

Almost surely, 2^105402253032 is an apocalyptic number.

105402253032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105402253032 is an abundant number, since it is smaller than the sum of its proper divisors (180272193948).

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

105402253032 is a wasteful number, since it uses less digits than its factorization.

105402253032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1076994 (or 1076987 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 105402253032 its reverse (230352204501), we get a palindrome (335754457533).

The spelling of 105402253032 in words is "one hundred five billion, four hundred two million, two hundred fifty-three thousand, thirty-two".