100305705 has 16 divisors (see below), whose sum is σ = 164827584. Its totient is φ = 52050240.

The previous prime is 100305679. The next prime is 100305707. The reversal of 100305705 is 507503001.

It is a happy number.

It is not a de Polignac number, because 100305705 - 2⁶ = 100305641 is a prime.

It is a super-2 number, since 2×100305705² = 20122468911094050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100305707) 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, 89811 + ... + 90920.

It is an arithmetic number, because the mean of its divisors is an integer number (10301724).

Almost surely, 2^100305705 is an apocalyptic number.

100305705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100305705 is a deficient number, since it is larger than the sum of its proper divisors (64521879).

100305705 is a wasteful number, since it uses less digits than its factorization.

100305705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180776.

The product of its (nonzero) digits is 525, while the sum is 21.

The square root of 100305705 is about 10015.2735858787. The cubic root of 100305705 is about 464.6313878361.

Adding to 100305705 its reverse (507503001), we get a palindrome (607808706).

The spelling of 100305705 in words is "one hundred million, three hundred five thousand, seven hundred five".