105515533413 has 32 divisors (see below), whose sum is σ = 167651337600. Its totient is φ = 65383987968.

The previous prime is 105515533393. The next prime is 105515533471. The reversal of 105515533413 is 314335515501.

105515533413 is a `hidden beast` number, since 10 + 5 + 51 + 553 + 3 + 41 + 3 = 666.

It is not a de Polignac number, because 105515533413 - 2⁵ = 105515533381 is a prime.

It is a super-2 number, since 2×105515533413² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105515533483) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1913220 + ... + 1967597.

It is an arithmetic number, because the mean of its divisors is an integer number (5239104300).

Almost surely, 2^105515533413 is an apocalyptic number.

It is an amenable number.

105515533413 is a deficient number, since it is larger than the sum of its proper divisors (62135804187).

105515533413 is a wasteful number, since it uses less digits than its factorization.

105515533413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880898 (or 3880892 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 105515533413 in words is "one hundred five billion, five hundred fifteen million, five hundred thirty-three thousand, four hundred thirteen".