106712550 has 144 divisors (see below), whose sum is σ = 345096960. Its totient is φ = 23094720.

The previous prime is 106712549. The next prime is 106712579. The reversal of 106712550 is 55217601.

106712550 is a `hidden beast` number, since 106 + 7 + 1 + 2 + 550 = 666.

It is a super-2 number, since 2×106712550² = 22775136655005000, 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 71 ways as a sum of consecutive naturals, for example, 58959 + ... + 60741.

Almost surely, 2^106712550 is an apocalyptic number.

106712550 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 106712550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172548480).

106712550 is an abundant number, since it is smaller than the sum of its proper divisors (238384410).

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

106712550 is a wasteful number, since it uses less digits than its factorization.

106712550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1827 (or 1819 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 27.

The square root of 106712550 is about 10330.1766683828. The cubic root of 106712550 is about 474.3204317345.

The spelling of 106712550 in words is "one hundred six million, seven hundred twelve thousand, five hundred fifty".