105177072 has 240 divisors, whose sum is σ = 369420800. Its totient is φ = 25090560.

The previous prime is 105177067. The next prime is 105177131. The reversal of 105177072 is 270771501.

It is a super-2 number, since 2×105177072² = 22124432948986368, which 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 47 ways as a sum of consecutive naturals, for example, 528429 + ... + 528627.

Almost surely, 2^105177072 is an apocalyptic number.

105177072 is a gapful number since it is divisible by the number (12) 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 105177072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184710400).

105177072 is an abundant number, since it is smaller than the sum of its proper divisors (264243728).

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

105177072 is a wasteful number, since it uses less digits than its factorization.

105177072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 3430, while the sum is 30.

The square root of 105177072 is about 10255.5873551933. The cubic root of 105177072 is about 472.0344463992.

The spelling of 105177072 in words is "one hundred five million, one hundred seventy-seven thousand, seventy-two".