105817169920 has 336 divisors, whose sum is σ = 322328578608. Its totient is φ = 32975093760.

The previous prime is 105817169917. The next prime is 105817169957. The reversal of 105817169920 is 29961718501.

It is a super-2 number, since 2×105817169920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

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, 22075044 + ... + 22079836.

Almost surely, 2^105817169920 is an apocalyptic number.

105817169920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105817169920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161164289304).

105817169920 is an abundant number, since it is smaller than the sum of its proper divisors (216511408688).

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

105817169920 is an equidigital number, since it uses as much as digits as its factorization.

105817169920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4849 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 49.

The spelling of 105817169920 in words is "one hundred five billion, eight hundred seventeen million, one hundred sixty-nine thousand, nine hundred twenty".