101055705 has 16 divisors (see below), whose sum is σ = 162072960. Its totient is φ = 53768448.

The previous prime is 101055697. The next prime is 101055727. The reversal of 101055705 is 507550101.

It is not a de Polignac number, because 101055705 - 2³ = 101055697 is a prime.

It is a super-3 number, since 3×101055705³ (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1285 + ... + 14274.

It is an arithmetic number, because the mean of its divisors is an integer number (10129560).

Almost surely, 2^101055705 is an apocalyptic number.

101055705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101055705 is a deficient number, since it is larger than the sum of its proper divisors (61017255).

101055705 is a wasteful number, since it uses less digits than its factorization.

101055705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16000.

The product of its (nonzero) digits is 875, while the sum is 24.

The square root of 101055705 is about 10052.6466664257. The cubic root of 101055705 is about 465.7865517825.

The spelling of 101055705 in words is "one hundred one million, fifty-five thousand, seven hundred five".