106750887552000 has 2464 divisors, whose sum is σ = 418165713838080. Its totient is φ = 27147372134400.

The previous prime is 106750887551953. The next prime is 106750887552007. The reversal of 106750887552000 is 255788057601.

106750887552000 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 5 + 0 + 8 + 87 + 552 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×106750887552000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106750887552007) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 278722943809 + ... + 278722944191.

Almost surely, 2^{106750887552000} is an apocalyptic number.

106750887552000 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 106750887552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209082856919040).

106750887552000 is an abundant number, since it is smaller than the sum of its proper divisors (311414826286080).

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

106750887552000 is an equidigital number, since it uses as much as digits as its factorization.

106750887552000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 4704000, while the sum is 54.

The spelling of 106750887552000 in words is "one hundred six trillion, seven hundred fifty billion, eight hundred eighty-seven million, five hundred fifty-two thousand".