106506176 has 28 divisors (see below), whose sum is σ = 241541808. Its totient is φ = 45645312.

The previous prime is 106506163. The next prime is 106506199. The reversal of 106506176 is 671605601.

It is a tau number, because it is divible by the number of its divisors (28).

It is a super-2 number, since 2×106506176² = 22687131052285952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 118421 + ... + 119316.

Almost surely, 2^106506176 is an apocalyptic number.

106506176 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106506176 is an abundant number, since it is smaller than the sum of its proper divisors (135035632).

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

106506176 is an equidigital number, since it uses as much as digits as its factorization.

106506176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237756 (or 237746 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 106506176 is about 10320.1829441149. The cubic root of 106506176 is about 474.0144678001.

The spelling of 106506176 in words is "one hundred six million, five hundred six thousand, one hundred seventy-six".