105016121015 has 32 divisors (see below), whose sum is σ = 141663029760. Its totient is φ = 74152780416.

The previous prime is 105016120987. The next prime is 105016121027. The reversal of 105016121015 is 510121610501.

It is not a de Polignac number, because 105016121015 - 2¹⁴ = 105016104631 is a prime.

It is a super-2 number, since 2×105016121015² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

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, 4957316 + ... + 4978454.

It is an arithmetic number, because the mean of its divisors is an integer number (4426969680).

Almost surely, 2^105016121015 is an apocalyptic number.

105016121015 is a deficient number, since it is larger than the sum of its proper divisors (36646908745).

105016121015 is a wasteful number, since it uses less digits than its factorization.

105016121015 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24503.

The product of its (nonzero) digits is 300, while the sum is 23.

Adding to 105016121015 its reverse (510121610501), we get a palindrome (615137731516).

The spelling of 105016121015 in words is "one hundred five billion, sixteen million, one hundred twenty-one thousand, fifteen".