105355250537 has 8 divisors (see below), whose sum is σ = 107936449992. Its totient is φ = 102774601600.

The previous prime is 105355250521. The next prime is 105355250557. The reversal of 105355250537 is 735052553501.

It can be written as a sum of positive squares in 4 ways, for example, as 4980971776 + 100374278761 = 70576^2 + 316819^2 .

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

It is not a de Polignac number, because 105355250537 - 2⁴ = 105355250521 is a prime.

It is a super-2 number, since 2×105355250537² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105355250494 and 105355250503.

It is not an unprimeable number, because it can be changed into a prime (105355250557) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263987 + ... + 529527.

It is an arithmetic number, because the mean of its divisors is an integer number (13492056249).

Almost surely, 2^105355250537 is an apocalyptic number.

It is an amenable number.

105355250537 is a deficient number, since it is larger than the sum of its proper divisors (2581199455).

105355250537 is an equidigital number, since it uses as much as digits as its factorization.

105355250537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275259.

The product of its (nonzero) digits is 393750, while the sum is 41.

The spelling of 105355250537 in words is "one hundred five billion, three hundred fifty-five million, two hundred fifty thousand, five hundred thirty-seven".