105418515552 has 48 divisors (see below), whose sum is σ = 316255548672. Its totient is φ = 30119575680.

The previous prime is 105418515529. The next prime is 105418515563. The reversal of 105418515552 is 255515814501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105418515552² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78435724 + ... + 78437067.

It is an arithmetic number, because the mean of its divisors is an integer number (6588657264).

Almost surely, 2^105418515552 is an apocalyptic number.

105418515552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105418515552 is an abundant number, since it is smaller than the sum of its proper divisors (210837033120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105418515552 is a wasteful number, since it uses less digits than its factorization.

105418515552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156872811 (or 156872803 counting only the distinct ones).

The product of its (nonzero) digits is 200000, while the sum is 42.

The spelling of 105418515552 in words is "one hundred five billion, four hundred eighteen million, five hundred fifteen thousand, five hundred fifty-two".