105046246152 has 96 divisors (see below), whose sum is σ = 285578092800. Its totient is φ = 34882970112.

The previous prime is 105046246147. The next prime is 105046246163. The reversal of 105046246152 is 251642640501.

105046246152 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 462 + 46 + 152 = 666.

It is a super-2 number, since 2×105046246152² (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 23 ways as a sum of consecutive naturals, for example, 45930753 + ... + 45933039.

It is an arithmetic number, because the mean of its divisors is an integer number (2974771800).

Almost surely, 2^105046246152 is an apocalyptic number.

105046246152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105046246152 is an abundant number, since it is smaller than the sum of its proper divisors (180531846648).

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

105046246152 is a wasteful number, since it uses less digits than its factorization.

105046246152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435 (or 4428 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 105046246152 its reverse (251642640501), we get a palindrome (356688886653).

The spelling of 105046246152 in words is "one hundred five billion, forty-six million, two hundred forty-six thousand, one hundred fifty-two".