105626730 has 32 divisors (see below), whose sum is σ = 276550848. Its totient is φ = 25606400.

The previous prime is 105626683. The next prime is 105626737. The reversal of 105626730 is 37626501.

It is a super-2 number, since 2×105626730² = 22314012180985800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (105626737) 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, 159711 + ... + 160370.

It is an arithmetic number, because the mean of its divisors is an integer number (8642214).

Almost surely, 2^105626730 is an apocalyptic number.

105626730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105626730 is an abundant number, since it is smaller than the sum of its proper divisors (170924118).

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

105626730 is a wasteful number, since it uses less digits than its factorization.

105626730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320102.

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 105626730 is about 10277.4865604388. The cubic root of 105626730 is about 472.7061780416.

The spelling of 105626730 in words is "one hundred five million, six hundred twenty-six thousand, seven hundred thirty".