105633342167776 has 24 divisors (see below), whose sum is σ = 207966952766160. Its totient is φ = 52816338290688.

The previous prime is 105633342167653. The next prime is 105633342167803. The reversal of 105633342167776 is 677761243336501.

It is a happy number.

It is a super-2 number, since 2×105633342167776² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5201836 + ... + 15437803.

It is an arithmetic number, because the mean of its divisors is an integer number (8665289698590).

Almost surely, 2^{105633342167776} is an apocalyptic number.

105633342167776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105633342167776 is a deficient number, since it is larger than the sum of its proper divisors (102333610598384).

105633342167776 is a wasteful number, since it uses less digits than its factorization.

105633342167776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20799586 (or 20799578 counting only the distinct ones).

The product of its (nonzero) digits is 80015040, while the sum is 61.

The spelling of 105633342167776 in words is "one hundred five trillion, six hundred thirty-three billion, three hundred forty-two million, one hundred sixty-seven thousand, seven hundred seventy-six".