106226976 has 24 divisors (see below), whose sum is σ = 278846064. Its totient is φ = 35408960.

The previous prime is 106226951. The next prime is 106227001. The reversal of 106226976 is 679622601.

It is an interprime number because it is at equal distance from previous prime (106226951) and next prime (106227001).

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×106226976² = 22568340860209152, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 553170 + ... + 553361.

It is an arithmetic number, because the mean of its divisors is an integer number (11618586).

Almost surely, 2^106226976 is an apocalyptic number.

106226976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

106226976 is an abundant number, since it is smaller than the sum of its proper divisors (172619088).

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

106226976 is a wasteful number, since it uses less digits than its factorization.

106226976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1106544 (or 1106536 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 106226976 is about 10306.6471754883. The cubic root of 106226976 is about 473.5999045075.

The spelling of 106226976 in words is "one hundred six million, two hundred twenty-six thousand, nine hundred seventy-six".