105399216 has 180 divisors, whose sum is σ = 329215536. Its totient is φ = 31449600.

The previous prime is 105399209. The next prime is 105399247. The reversal of 105399216 is 612993501.

105399216 = 40³ + 41³ + ... + 143³.

It is a super-2 number, since 2×105399216² = 22217989466829312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1484461 + ... + 1484531.

Almost surely, 2^105399216 is an apocalyptic number.

105399216 is a gapful number since it is divisible by the number (16) 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 105399216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164607768).

105399216 is an abundant number, since it is smaller than the sum of its proper divisors (223816320).

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

105399216 is a wasteful number, since it uses less digits than its factorization.

105399216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 105399216 is about 10266.4120314743. The cubic root of 105399216 is about 472.3665399505.

The spelling of 105399216 in words is "one hundred five million, three hundred ninety-nine thousand, two hundred sixteen".