106652617920 has 896 divisors, whose sum is σ = 420038784000. Its totient is φ = 25360957440.

The previous prime is 106652617913. The next prime is 106652617927. The reversal of 106652617920 is 29716256601.

106652617920 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 5 + 2 + 617 + 9 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (106652617913) and next prime (106652617927).

It is a super-2 number, since 2×106652617920² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (106652617927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 204707260 + ... + 204707780.

Almost surely, 2^106652617920 is an apocalyptic number.

106652617920 is a gapful number since it is divisible by the number (10) 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 106652617920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210019392000).

106652617920 is an abundant number, since it is smaller than the sum of its proper divisors (313386166080).

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

106652617920 is a wasteful number, since it uses less digits than its factorization.

106652617920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 106652617920 in words is "one hundred six billion, six hundred fifty-two million, six hundred seventeen thousand, nine hundred twenty".