106887150 has 72 divisors (see below), whose sum is σ = 288564120. Its totient is φ = 28365120.

The previous prime is 106887149. The next prime is 106887161. The reversal of 106887150 is 51788601.

It is a super-2 number, since 2×106887150² = 22849725670245000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 120609 + ... + 121491.

It is an arithmetic number, because the mean of its divisors is an integer number (4007835).

Almost surely, 2^106887150 is an apocalyptic number.

106887150 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 106887150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144282060).

106887150 is an abundant number, since it is smaller than the sum of its proper divisors (181676970).

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

106887150 is a wasteful number, since it uses less digits than its factorization.

106887150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1170 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 36.

The square root of 106887150 is about 10338.6241831300. The cubic root of 106887150 is about 474.5789805842.

The spelling of 106887150 in words is "one hundred six million, eight hundred eighty-seven thousand, one hundred fifty".