106721050468032 has 2688 divisors, whose sum is σ = 435403513036800. Its totient is φ = 24879616819200.

The previous prime is 106721050468009. The next prime is 106721050468057. The reversal of 106721050468032 is 230864050127601.

106721050468032 is a `hidden beast` number, since 1 + 0 + 6 + 72 + 10 + 504 + 68 + 0 + 3 + 2 = 666.

It is a super-2 number, since 2×106721050468032² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 254704177519 + ... + 254704177937.

It is an arithmetic number, because the mean of its divisors is an integer number (161980473600).

Almost surely, 2^{106721050468032} is an apocalyptic number.

106721050468032 is a gapful number since it is divisible by the number (12) 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 106721050468032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217701756518400).

106721050468032 is an abundant number, since it is smaller than the sum of its proper divisors (328682462568768).

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

106721050468032 is a wasteful number, since it uses less digits than its factorization.

106721050468032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 772 (or 743 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 106721050468032 in words is "one hundred six trillion, seven hundred twenty-one billion, fifty million, four hundred sixty-eight thousand, thirty-two".