106271952 has 40 divisors (see below), whose sum is σ = 275547840. Its totient is φ = 35293440.

The previous prime is 106271933. The next prime is 106271987. The reversal of 106271952 is 259172601.

It is a super-2 number, since 2×106271952² = 22587455563780608, 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 7 ways as a sum of consecutive naturals, for example, 9549 + ... + 17427.

It is an arithmetic number, because the mean of its divisors is an integer number (6888696).

Almost surely, 2^106271952 is an apocalyptic number.

106271952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106271952 is an abundant number, since it is smaller than the sum of its proper divisors (169275888).

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

106271952 is a wasteful number, since it uses less digits than its factorization.

106271952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8171 (or 8165 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The square root of 106271952 is about 10308.8288374577. The cubic root of 106271952 is about 473.6667350642. Note that the first 3 decimals are identical.

The spelling of 106271952 in words is "one hundred six million, two hundred seventy-one thousand, nine hundred fifty-two".