106757363328 has 256 divisors, whose sum is σ = 363106160640. Its totient is φ = 26979471360.

The previous prime is 106757363327. The next prime is 106757363341. The reversal of 106757363328 is 823363757601.

It is a happy number.

It is a super-2 number, since 2×106757363328² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106757363327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1045225 + ... + 1142807.

It is an arithmetic number, because the mean of its divisors is an integer number (1418383440).

Almost surely, 2^106757363328 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 106757363328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181553080320).

106757363328 is an abundant number, since it is smaller than the sum of its proper divisors (256348797312).

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

106757363328 is a wasteful number, since it uses less digits than its factorization.

106757363328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97655 (or 97643 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 106757363328 in words is "one hundred six billion, seven hundred fifty-seven million, three hundred sixty-three thousand, three hundred twenty-eight".