105379731 has 16 divisors (see below), whose sum is σ = 156301600. Its totient is φ = 70170624.

The previous prime is 105379727. The next prime is 105379739. The reversal of 105379731 is 137973501.

105379731 is a `hidden beast` number, since 1 + 0 + 537 + 97 + 31 = 666.

It is not a de Polignac number, because 105379731 - 2² = 105379727 is a prime.

It is a super-2 number, since 2×105379731² = 22209775411264722, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105379739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28755 + ... + 32211.

It is an arithmetic number, because the mean of its divisors is an integer number (9768850).

Almost surely, 2^105379731 is an apocalyptic number.

105379731 is a deficient number, since it is larger than the sum of its proper divisors (50921869).

105379731 is a wasteful number, since it uses less digits than its factorization.

105379731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4595 (or 4589 counting only the distinct ones).

The product of its (nonzero) digits is 19845, while the sum is 36.

The square root of 105379731 is about 10265.4630192700. The cubic root of 105379731 is about 472.3374295845.

The spelling of 105379731 in words is "one hundred five million, three hundred seventy-nine thousand, seven hundred thirty-one".