105771953391 has 16 divisors (see below), whose sum is σ = 155982480864. Its totient is φ = 63331231104.

The previous prime is 105771953351. The next prime is 105771953459. The reversal of 105771953391 is 193359177501.

It is a happy number.

It is not a de Polignac number, because 105771953391 - 2⁶ = 105771953327 is a prime.

It is a super-2 number, since 2×105771953391² (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 (105771953351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36648576 + ... + 36651461.

It is an arithmetic number, because the mean of its divisors is an integer number (9748905054).

Almost surely, 2^105771953391 is an apocalyptic number.

105771953391 is a deficient number, since it is larger than the sum of its proper divisors (50210527473).

105771953391 is a wasteful number, since it uses less digits than its factorization.

105771953391 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73300090.

The product of its (nonzero) digits is 893025, while the sum is 51.

The spelling of 105771953391 in words is "one hundred five billion, seven hundred seventy-one million, nine hundred fifty-three thousand, three hundred ninety-one".