100807643 has 16 divisors (see below), whose sum is σ = 109843776. Its totient is φ = 92252160.

The previous prime is 100807607. The next prime is 100807697. The reversal of 100807643 is 346708001.

100807643 = T₂₁₉₇ + T₂₁₉₈ + ... + T₂₂₃₇.

It is a cyclic number.

It is not a de Polignac number, because 100807643 - 2⁶ = 100807579 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100807243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48971 + ... + 50987.

It is an arithmetic number, because the mean of its divisors is an integer number (6865236).

Almost surely, 2^100807643 is an apocalyptic number.

100807643 is a deficient number, since it is larger than the sum of its proper divisors (9036133).

100807643 is a wasteful number, since it uses less digits than its factorization.

100807643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2134.

The product of its (nonzero) digits is 4032, while the sum is 29.

The square root of 100807643 is about 10040.3009417049. The cubic root of 100807643 is about 465.4051165636.

The spelling of 100807643 in words is "one hundred million, eight hundred seven thousand, six hundred forty-three".