100261905 has 16 divisors (see below), whose sum is σ = 165594624. Its totient is φ = 51747840.

The previous prime is 100261891. The next prime is 100261913. The reversal of 100261905 is 509162001.

It is not a de Polignac number, because 100261905 - 2¹⁴ = 100245521 is a prime.

It is an unprimeable number.

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, 107344 + ... + 108273.

It is an arithmetic number, because the mean of its divisors is an integer number (10349664).

Almost surely, 2^100261905 is an apocalyptic number.

100261905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100261905 is a deficient number, since it is larger than the sum of its proper divisors (65332719).

100261905 is a wasteful number, since it uses less digits than its factorization.

100261905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215656.

The product of its (nonzero) digits is 540, while the sum is 24.

The square root of 100261905 is about 10013.0866869313. The cubic root of 100261905 is about 464.5637485538.

The spelling of 100261905 in words is "one hundred million, two hundred sixty-one thousand, nine hundred five".