105947397 has 12 divisors (see below), whose sum is σ = 153583404. Its totient is φ = 70378560.

The previous prime is 105947381. The next prime is 105947431. The reversal of 105947397 is 793749501.

It can be written as a sum of positive squares in 2 ways, for example, as 84658401 + 21288996 = 9201^2 + 4614^2 .

It is not a de Polignac number, because 105947397 - 2⁴ = 105947381 is a prime.

It is a super-2 number, since 2×105947397² = 22449701862151218, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105947327) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18418 + ... + 23475.

It is an arithmetic number, because the mean of its divisors is an integer number (12798617).

Almost surely, 2^105947397 is an apocalyptic number.

It is an amenable number.

105947397 is a deficient number, since it is larger than the sum of its proper divisors (47636007).

105947397 is a wasteful number, since it uses less digits than its factorization.

105947397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42180 (or 42177 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 105947397 is about 10293.0751964610. The cubic root of 105947397 is about 473.1840499384.

The spelling of 105947397 in words is "one hundred five million, nine hundred forty-seven thousand, three hundred ninety-seven".