105123628 has 12 divisors (see below), whose sum is σ = 185788512. Its totient is φ = 52041200.

The previous prime is 105123617. The next prime is 105123643. The reversal of 105123628 is 826321501.

105123628 = T₁₃₉₂ + T₁₃₉₃ + ... + T₁₄₉₂.

It is a super-2 number, since 2×105123628² = 22101954327764768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105123596 and 105123605.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 129700 + ... + 130507.

It is an arithmetic number, because the mean of its divisors is an integer number (15482376).

Almost surely, 2^105123628 is an apocalyptic number.

It is an amenable number.

105123628 is a deficient number, since it is larger than the sum of its proper divisors (80664884).

105123628 is a wasteful number, since it uses less digits than its factorization.

105123628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260312 (or 260310 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 105123628 is about 10252.9814200553. The cubic root of 105123628 is about 471.9544806721.

The spelling of 105123628 in words is "one hundred five million, one hundred twenty-three thousand, six hundred twenty-eight".