105390150 has 48 divisors (see below), whose sum is σ = 275131200. Its totient is φ = 26624160.

The previous prime is 105390133. The next prime is 105390211. The reversal of 105390150 is 51093501.

It is a super-2 number, since 2×105390150² = 22214167434045000, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105390150.

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, 15640 + ... + 21339.

It is an arithmetic number, because the mean of its divisors is an integer number (5731900).

Almost surely, 2^105390150 is an apocalyptic number.

105390150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105390150 is an abundant number, since it is smaller than the sum of its proper divisors (169741050).

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

105390150 is a wasteful number, since it uses less digits than its factorization.

105390150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37013 (or 37008 counting only the distinct ones).

The product of its (nonzero) digits is 675, while the sum is 24.

The square root of 105390150 is about 10265.9704850540. The cubic root of 105390150 is about 472.3529958970.

The spelling of 105390150 in words is "one hundred five million, three hundred ninety thousand, one hundred fifty".