106633268 has 24 divisors (see below), whose sum is σ = 214036032. Its totient is φ = 45535104.

The previous prime is 106633259. The next prime is 106633277. The reversal of 106633268 is 862336601.

It is an interprime number because it is at equal distance from previous prime (106633259) and next prime (106633277).

It is a super-2 number, since 2×106633268² = 22741307688719648, 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, 1196 + ... + 14652.

It is an arithmetic number, because the mean of its divisors is an integer number (8918168).

Almost surely, 2^106633268 is an apocalyptic number.

It is an amenable number.

106633268 is an abundant number, since it is smaller than the sum of its proper divisors (107402764).

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

106633268 is a wasteful number, since it uses less digits than its factorization.

106633268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13751 (or 13749 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 106633268 is about 10326.3385573009. The cubic root of 106633268 is about 474.2029373092.

Adding to 106633268 its reverse (862336601), we get a palindrome (968969869).

It can be divided in two parts, 10663 and 3268, that added together give a palindrome (13931).

The spelling of 106633268 in words is "one hundred six million, six hundred thirty-three thousand, two hundred sixty-eight".