105055152 has 40 divisors (see below), whose sum is σ = 277172736. Its totient is φ = 34272576.

The previous prime is 105055147. The next prime is 105055177. The reversal of 105055152 is 251550501.

It is a super-2 number, since 2×105055152² = 22073169923486208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21028 + ... + 25539.

Almost surely, 2^105055152 is an apocalyptic number.

105055152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105055152 is an abundant number, since it is smaller than the sum of its proper divisors (172117584).

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

105055152 is a wasteful number, since it uses less digits than its factorization.

105055152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46625 (or 46619 counting only the distinct ones).

The product of its (nonzero) digits is 1250, while the sum is 24.

The square root of 105055152 is about 10249.6415547081. The cubic root of 105055152 is about 471.8519836558.

The spelling of 105055152 in words is "one hundred five million, fifty-five thousand, one hundred fifty-two".