105047952 has 40 divisors (see below), whose sum is σ = 271890336. Its totient is φ = 34949376.

The previous prime is 105047939. The next prime is 105047963. The reversal of 105047952 is 259740501.

It is a super-2 number, since 2×105047952² = 22070144438788608, which contains 22 as substring.

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, 27843 + ... + 31389.

Almost surely, 2^105047952 is an apocalyptic number.

105047952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105047952 is an abundant number, since it is smaller than the sum of its proper divisors (166842384).

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

105047952 is a wasteful number, since it uses less digits than its factorization.

105047952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4169 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 105047952 is about 10249.2903168951. The cubic root of 105047952 is about 471.8412038834.

The spelling of 105047952 in words is "one hundred five million, forty-seven thousand, nine hundred fifty-two".