106506150 has 48 divisors (see below), whose sum is σ = 269139024. Its totient is φ = 27863680.

The previous prime is 106506149. The next prime is 106506157. The reversal of 106506150 is 51605601.

It is a super-2 number, since 2×106506150² = 22687119975645000, 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 106506150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106506157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1252 + ... + 14648.

It is an arithmetic number, because the mean of its divisors is an integer number (5607063).

Almost surely, 2^106506150 is an apocalyptic number.

106506150 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 106506150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134569512).

106506150 is an abundant number, since it is smaller than the sum of its proper divisors (162632874).

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

106506150 is a wasteful number, since it uses less digits than its factorization.

106506150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13465 (or 13460 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 106506150 is about 10320.1816844472. The cubic root of 106506150 is about 474.0144292284.

The spelling of 106506150 in words is "one hundred six million, five hundred six thousand, one hundred fifty".