105115252545 has 24 divisors (see below), whose sum is σ = 186076365696. Its totient is φ = 54868669728.

The previous prime is 105115252531. The next prime is 105115252553. The reversal of 105115252545 is 545252511501.

105115252545 is a `hidden beast` number, since 1 + 0 + 5 + 11 + 52 + 52 + 545 = 666.

It is not a de Polignac number, because 105115252545 - 2⁶ = 105115252481 is a prime.

It is a super-3 number, since 3×105115252545³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24847827 + ... + 24852056.

It is an arithmetic number, because the mean of its divisors is an integer number (7753181904).

Almost surely, 2^105115252545 is an apocalyptic number.

105115252545 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105115252545 is a deficient number, since it is larger than the sum of its proper divisors (80961113151).

105115252545 is a wasteful number, since it uses less digits than its factorization.

105115252545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49699941 (or 49699938 counting only the distinct ones).

The product of its (nonzero) digits is 50000, while the sum is 36.

The spelling of 105115252545 in words is "one hundred five billion, one hundred fifteen million, two hundred fifty-two thousand, five hundred forty-five".