106132350 has 48 divisors (see below), whose sum is σ = 274660992. Its totient is φ = 27070560.

The previous prime is 106132339. The next prime is 106132357. The reversal of 106132350 is 53231601.

It is a super-2 number, since 2×106132350² = 22528151433045000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106132357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11932 + ... + 18831.

It is an arithmetic number, because the mean of its divisors is an integer number (5722104).

Almost surely, 2^106132350 is an apocalyptic number.

106132350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106132350 is an abundant number, since it is smaller than the sum of its proper divisors (168528642).

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

106132350 is a wasteful number, since it uses less digits than its factorization.

106132350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30801 (or 30796 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 106132350 is about 10302.0556201178. The cubic root of 106132350 is about 473.4592366040.

Adding to 106132350 its reverse (53231601), we get a palindrome (159363951).

It can be divided in two parts, 1061 and 32350, that added together give a triangular number (33411 = T₂₅₈).

The spelling of 106132350 in words is "one hundred six million, one hundred thirty-two thousand, three hundred fifty".