106652215764 has 72 divisors (see below), whose sum is σ = 273610733760. Its totient is φ = 35021750400.

The previous prime is 106652215759. The next prime is 106652215811. The reversal of 106652215764 is 467512256601.

106652215764 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 52 + 21 + 576 + 4 = 666.

It is a super-2 number, since 2×106652215764² (a number of 23 digits) 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 23 ways as a sum of consecutive naturals, for example, 3278499 + ... + 3310869.

It is an arithmetic number, because the mean of its divisors is an integer number (3800149080).

Almost surely, 2^106652215764 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 106652215764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136805366880).

106652215764 is an abundant number, since it is smaller than the sum of its proper divisors (166958517996).

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

106652215764 is a wasteful number, since it uses less digits than its factorization.

106652215764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33741 (or 33736 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 106652215764 in words is "one hundred six billion, six hundred fifty-two million, two hundred fifteen thousand, seven hundred sixty-four".