105345537 has 8 divisors (see below), whose sum is σ = 153229920. Its totient is φ = 63845760.

The previous prime is 105345529. The next prime is 105345563. The reversal of 105345537 is 735543501.

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

It is not a de Polignac number, because 105345537 - 2³ = 105345529 is a prime.

It is a super-2 number, since 2×105345537² = 22195364331636738, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33), and also a Moran number because the ratio is a prime number: 3192289 = 105345537 / (1 + 0 + 5 + 3 + 4 + 5 + 5 + 3 + 7).

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 105345498 and 105345507.

It is not an unprimeable number, because it can be changed into a prime (105345577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1596112 + ... + 1596177.

It is an arithmetic number, because the mean of its divisors is an integer number (19153740).

Almost surely, 2^105345537 is an apocalyptic number.

It is an amenable number.

105345537 is a deficient number, since it is larger than the sum of its proper divisors (47884383).

105345537 is a wasteful number, since it uses less digits than its factorization.

105345537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3192303.

The product of its (nonzero) digits is 31500, while the sum is 33.

The square root of 105345537 is about 10263.7973966754. The cubic root of 105345537 is about 472.2863354662.

The spelling of 105345537 in words is "one hundred five million, three hundred forty-five thousand, five hundred thirty-seven".