106549264 has 40 divisors (see below), whose sum is σ = 218061440. Its totient is φ = 50295168.

The previous prime is 106549253. The next prime is 106549279. The reversal of 106549264 is 462945601.

It is a super-2 number, since 2×106549264² = 22705491317883392, which contains 22 as substring.

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, 140374 + ... + 141130.

It is an arithmetic number, because the mean of its divisors is an integer number (5451536).

Almost surely, 2^106549264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106549264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109030720).

106549264 is an abundant number, since it is smaller than the sum of its proper divisors (111512176).

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

106549264 is a wasteful number, since it uses less digits than its factorization.

106549264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1247 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The square root of 106549264 is about 10322.2702929152. The cubic root of 106549264 is about 474.0783814074.

The spelling of 106549264 in words is "one hundred six million, five hundred forty-nine thousand, two hundred sixty-four".