106941312 has 48 divisors (see below), whose sum is σ = 307738080. Its totient is φ = 35646720.

The previous prime is 106941281. The next prime is 106941337. The reversal of 106941312 is 213149601.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×106941312² = 22872888424562688, 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 5 ways as a sum of consecutive naturals, for example, 45264 + ... + 47567.

It is an arithmetic number, because the mean of its divisors is an integer number (6411210).

Almost surely, 2^106941312 is an apocalyptic number.

106941312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106941312 is an abundant number, since it is smaller than the sum of its proper divisors (200796768).

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

106941312 is an equidigital number, since it uses as much as digits as its factorization.

106941312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92851 (or 92836 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 106941312 is about 10341.2432521433. The cubic root of 106941312 is about 474.6591268143.

The spelling of 106941312 in words is "one hundred six million, nine hundred forty-one thousand, three hundred twelve".