105626040 has 64 divisors (see below), whose sum is σ = 341258400. Its totient is φ = 25999872.

The previous prime is 105625991. The next prime is 105626047. The reversal of 105626040 is 40626501.

It is a super-2 number, since 2×105626040² = 22313720652163200, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105626040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105626047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32295 + ... + 35414.

Almost surely, 2^105626040 is an apocalyptic number.

105626040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105626040 is an abundant number, since it is smaller than the sum of its proper divisors (235632360).

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

105626040 is a wasteful number, since it uses less digits than its factorization.

105626040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67736 (or 67732 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 105626040 is about 10277.4529918653. The cubic root of 105626040 is about 472.7051487315.

The spelling of 105626040 in words is "one hundred five million, six hundred twenty-six thousand, forty".