106530864 has 80 divisors (see below), whose sum is σ = 303730560. Its totient is φ = 31905280.

The previous prime is 106530859. The next prime is 106530877. The reversal of 106530864 is 468035601.

It is a super-2 number, since 2×106530864² = 22697649969172992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45859 + ... + 48125.

It is an arithmetic number, because the mean of its divisors is an integer number (3796632).

Almost surely, 2^106530864 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 106530864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151865280).

106530864 is an abundant number, since it is smaller than the sum of its proper divisors (197199696).

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

106530864 is a wasteful number, since it uses less digits than its factorization.

106530864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2372 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 106530864 is about 10321.3789776367. The cubic root of 106530864 is about 474.0510902932.

The spelling of 106530864 in words is "one hundred six million, five hundred thirty thousand, eight hundred sixty-four".