105407628 has 12 divisors (see below), whose sum is σ = 245951160. Its totient is φ = 35135872.

The previous prime is 105407609. The next prime is 105407639. The reversal of 105407628 is 826704501.

It is a tau number, because it is divible by the number of its divisors (12).

It is a super-2 number, since 2×105407628² = 22221536081172768, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4391973 + ... + 4391996.

It is an arithmetic number, because the mean of its divisors is an integer number (20495930).

Almost surely, 2^105407628 is an apocalyptic number.

It is an amenable number.

105407628 is an abundant number, since it is smaller than the sum of its proper divisors (140543532).

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

105407628 is a wasteful number, since it uses less digits than its factorization.

105407628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8783976 (or 8783974 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 105407628 is about 10266.8217087860. The cubic root of 105407628 is about 472.3791062730.

The spelling of 105407628 in words is "one hundred five million, four hundred seven thousand, six hundred twenty-eight".