106564788 has 96 divisors (see below), whose sum is σ = 303421440. Its totient is φ = 32076000.

The previous prime is 106564769. The next prime is 106564807. The reversal of 106564788 is 887465601.

It is a happy number.

106564788 is a `hidden beast` number, since 1 + 0 + 6 + 564 + 7 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (106564769) and next prime (106564807).

It is a super-2 number, since 2×106564788² = 22712108082969888, 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 31 ways as a sum of consecutive naturals, for example, 321783 + ... + 322113.

It is an arithmetic number, because the mean of its divisors is an integer number (3160640).

Almost surely, 2^106564788 is an apocalyptic number.

106564788 is a gapful number since it is divisible by the number (18) 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 106564788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151710720).

106564788 is an abundant number, since it is smaller than the sum of its proper divisors (196856652).

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

106564788 is a wasteful number, since it uses less digits than its factorization.

106564788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 106564788 is about 10323.0222318854. The cubic root of 106564788 is about 474.1014043582.

The spelling of 106564788 in words is "one hundred six million, five hundred sixty-four thousand, seven hundred eighty-eight".