106020264 has 64 divisors (see below), whose sum is σ = 307468800. Its totient is φ = 29836224.

The previous prime is 106020263. The next prime is 106020283. The reversal of 106020264 is 462020601.

It is a happy number.

It is a super-2 number, since 2×106020264² = 22480592757259392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 106020264.

It is not an unprimeable number, because it can be changed into a prime (106020263) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6547 + ... + 15965.

It is an arithmetic number, because the mean of its divisors is an integer number (4804200).

Almost surely, 2^106020264 is an apocalyptic number.

106020264 is a gapful number since it is divisible by the number (14) 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 106020264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153734400).

106020264 is an abundant number, since it is smaller than the sum of its proper divisors (201448536).

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

106020264 is a wasteful number, since it uses less digits than its factorization.

106020264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9502 (or 9498 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 106020264 is about 10296.6142007944. The cubic root of 106020264 is about 473.2925050194.

Adding to 106020264 its reverse (462020601), we get a palindrome (568040865).

The spelling of 106020264 in words is "one hundred six million, twenty thousand, two hundred sixty-four".