100259905 has 8 divisors (see below), whose sum is σ = 122284584. Its totient is φ = 78892800.

The previous prime is 100259893. The next prime is 100259917. The reversal of 100259905 is 509952001.

It is an interprime number because it is at equal distance from previous prime (100259893) and next prime (100259917).

It can be written as a sum of positive squares in 4 ways, for example, as 339889 + 99920016 = 583^2 + 9996^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100259905 - 2²⁵ = 66705473 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 164056 + ... + 164665.

It is an arithmetic number, because the mean of its divisors is an integer number (15285573).

Almost surely, 2^100259905 is an apocalyptic number.

It is an amenable number.

100259905 is a deficient number, since it is larger than the sum of its proper divisors (22024679).

100259905 is an equidigital number, since it uses as much as digits as its factorization.

100259905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328787.

The product of its (nonzero) digits is 4050, while the sum is 31.

The square root of 100259905 is about 10012.9868171290. The cubic root of 100259905 is about 464.5606595319.

The spelling of 100259905 in words is "one hundred million, two hundred fifty-nine thousand, nine hundred five".