106227936 has 144 divisors (see below), whose sum is σ = 330220800. Its totient is φ = 33499008.

The previous prime is 106227923. The next prime is 106227941. The reversal of 106227936 is 639722601.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106227936² = 22568748773640192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 106227936.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147385 + ... + 148103.

It is an arithmetic number, because the mean of its divisors is an integer number (2293200).

Almost surely, 2^106227936 is an apocalyptic number.

106227936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106227936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165110400).

106227936 is an abundant number, since it is smaller than the sum of its proper divisors (223992864).

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

106227936 is an equidigital number, since it uses as much as digits as its factorization.

106227936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 763 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 106227936 is about 10306.6937472693. The cubic root of 106227936 is about 473.6013311839.

The spelling of 106227936 in words is "one hundred six million, two hundred twenty-seven thousand, nine hundred thirty-six".