105177940 has 48 divisors (see below), whose sum is σ = 256217472. Its totient is φ = 35519616.

The previous prime is 105177923. The next prime is 105177959. The reversal of 105177940 is 49771501.

It is a super-2 number, since 2×105177940² = 22124798125287200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105177896 and 105177905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3774 + ... + 14986.

It is an arithmetic number, because the mean of its divisors is an integer number (5337864).

Almost surely, 2^105177940 is an apocalyptic number.

105177940 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 105177940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128108736).

105177940 is an abundant number, since it is smaller than the sum of its proper divisors (151039532).

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

105177940 is a wasteful number, since it uses less digits than its factorization.

105177940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11296 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 34.

The square root of 105177940 is about 10255.6296735013. The cubic root of 105177940 is about 472.0357449229.

The spelling of 105177940 in words is "one hundred five million, one hundred seventy-seven thousand, nine hundred forty".