105211537431010 has 64 divisors (see below), whose sum is σ = 201089254233600. Its totient is φ = 39496775498752.

The previous prime is 105211537430941. The next prime is 105211537431037. The reversal of 105211537431010 is 10134735112501.

It is a super-2 number, since 2×105211537431010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2066633436 + ... + 2066684344.

It is an arithmetic number, because the mean of its divisors is an integer number (3142019597400).

Almost surely, 2^{105211537431010} is an apocalyptic number.

105211537431010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105211537431010 is a deficient number, since it is larger than the sum of its proper divisors (95877716802590).

105211537431010 is a wasteful number, since it uses less digits than its factorization.

105211537431010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85155.

The product of its (nonzero) digits is 12600, while the sum is 34.

The spelling of 105211537431010 in words is "one hundred five trillion, two hundred eleven billion, five hundred thirty-seven million, four hundred thirty-one thousand, ten".