105551365640 has 64 divisors (see below), whose sum is σ = 271609027200. Its totient is φ = 36163542528.

The previous prime is 105551365567. The next prime is 105551365657. The reversal of 105551365640 is 46563155501.

It is a super-2 number, since 2×105551365640² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267476 + ... + 531644.

It is an arithmetic number, because the mean of its divisors is an integer number (4243891050).

Almost surely, 2^105551365640 is an apocalyptic number.

105551365640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105551365640 is an abundant number, since it is smaller than the sum of its proper divisors (166057661560).

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

105551365640 is a wasteful number, since it uses less digits than its factorization.

105551365640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265614 (or 265610 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 41.

The spelling of 105551365640 in words is "one hundred five billion, five hundred fifty-one million, three hundred sixty-five thousand, six hundred forty".