106353150 has 96 divisors (see below), whose sum is σ = 284981760. Its totient is φ = 26167680.

The previous prime is 106353119. The next prime is 106353199. The reversal of 106353150 is 51353601.

It is a super-2 number, since 2×106353150² = 22621985029845000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106353150.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 99519 + ... + 100581.

It is an arithmetic number, because the mean of its divisors is an integer number (2968560).

Almost surely, 2^106353150 is an apocalyptic number.

106353150 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 106353150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142490880).

106353150 is an abundant number, since it is smaller than the sum of its proper divisors (178628610).

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

106353150 is a wasteful number, since it uses less digits than its factorization.

106353150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1130 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 106353150 is about 10312.7663601965. The cubic root of 106353150 is about 473.7873407353.

The spelling of 106353150 in words is "one hundred six million, three hundred fifty-three thousand, one hundred fifty".