106652485333200 has 480 divisors, whose sum is σ = 358976310474240. Its totient is φ = 27035331379200.

The previous prime is 106652485333183. The next prime is 106652485333201. The reversal of 106652485333200 is 2333584256601.

It is a super-2 number, since 2×106652485333200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 106652485333200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106652485333201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1187344290 + ... + 1187434110.

It is an arithmetic number, because the mean of its divisors is an integer number (747867313488).

Almost surely, 2^{106652485333200} is an apocalyptic number.

106652485333200 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 106652485333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179488155237120).

106652485333200 is an abundant number, since it is smaller than the sum of its proper divisors (252323825141040).

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

106652485333200 is a wasteful number, since it uses less digits than its factorization.

106652485333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90495 (or 90484 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 106652485333200 in words is "one hundred six trillion, six hundred fifty-two billion, four hundred eighty-five million, three hundred thirty-three thousand, two hundred".