105364350 has 288 divisors, whose sum is σ = 363976704. Its totient is φ = 21254400.

The previous prime is 105364339. The next prime is 105364373. The reversal of 105364350 is 53463501.

105364350 is a `hidden beast` number, since 10 + 5 + 3 + 643 + 5 + 0 = 666.

It is a super-2 number, since 2×105364350² = 22203292501845000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1269409 + ... + 1269491.

It is an arithmetic number, because the mean of its divisors is an integer number (1263808).

Almost surely, 2^105364350 is an apocalyptic number.

105364350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105364350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181988352).

105364350 is an abundant number, since it is smaller than the sum of its proper divisors (258612354).

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

105364350 is a wasteful number, since it uses less digits than its factorization.

105364350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 105364350 is about 10264.7138294255. The cubic root of 105364350 is about 472.3144480129.

The spelling of 105364350 in words is "one hundred five million, three hundred sixty-four thousand, three hundred fifty".