105237510045 has 32 divisors (see below), whose sum is σ = 177440557824. Its totient is φ = 53154816000.

The previous prime is 105237510031. The next prime is 105237510083. The reversal of 105237510045 is 540015732501.

It is not a de Polignac number, because 105237510045 - 2⁴ = 105237510029 is a prime.

It is a super-2 number, since 2×105237510045² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105237509988 and 105237510015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1475236 + ... + 1544925.

It is an arithmetic number, because the mean of its divisors is an integer number (5545017432).

Almost surely, 2^105237510045 is an apocalyptic number.

105237510045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105237510045 is a deficient number, since it is larger than the sum of its proper divisors (72203047779).

105237510045 is a wasteful number, since it uses less digits than its factorization.

105237510045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3020293.

The product of its (nonzero) digits is 21000, while the sum is 33.

The spelling of 105237510045 in words is "one hundred five billion, two hundred thirty-seven million, five hundred ten thousand, forty-five".