10506150 has 72 divisors (see below), whose sum is σ = 29035344. Its totient is φ = 2721600.

The previous prime is 10506079. The next prime is 10506169. The reversal of 10506150 is 5160501.

10506150 is a `hidden beast` number, since 1 + 0 + 50 + 615 + 0 = 666.

It is a super-2 number, since 2×10506150² = 220758375645000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16335 + ... + 16965.

Almost surely, 2^10506150 is an apocalyptic number.

10506150 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 10506150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14517672).

10506150 is an abundant number, since it is smaller than the sum of its proper divisors (18529194).

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

10506150 is a wasteful number, since it uses less digits than its factorization.

10506150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 10506150 is about 3241.3191758912. The cubic root of 10506150 is about 219.0187010989.

Adding to 10506150 its reverse (5160501), we get a palindrome (15666651).

It can be divided in two parts, 105061 and 50, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 10506150 in words is "ten million, five hundred six thousand, one hundred fifty".