105006072 has 16 divisors (see below), whose sum is σ = 262515240. Its totient is φ = 35002016.

The previous prime is 105006029. The next prime is 105006079. The reversal of 105006072 is 270600501.

It is a super-2 number, since 2×105006072² = 22052550313738368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105006079) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2187603 + ... + 2187650.

Almost surely, 2^105006072 is an apocalyptic number.

105006072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105006072 is an abundant number, since it is smaller than the sum of its proper divisors (157509168).

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

105006072 is a wasteful number, since it uses less digits than its factorization.

105006072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4375262 (or 4375258 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 105006072 is about 10247.2470449385. The cubic root of 105006072 is about 471.7784917731.

Adding to 105006072 its reverse (270600501), we get a palindrome (375606573).

The spelling of 105006072 in words is "one hundred five million, six thousand, seventy-two".