106032401664 has 144 divisors (see below), whose sum is σ = 322745310720. Its totient is φ = 30273361920.

The previous prime is 106032401663. The next prime is 106032401681. The reversal of 106032401664 is 466104230601.

It is a super-2 number, since 2×106032401664² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106032401663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8482459 + ... + 8494949.

It is an arithmetic number, because the mean of its divisors is an integer number (2241286880).

Almost surely, 2^106032401664 is an apocalyptic number.

106032401664 is a gapful number since it is divisible by the number (14) 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 106032401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161372655360).

106032401664 is an abundant number, since it is smaller than the sum of its proper divisors (216712909056).

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

106032401664 is a wasteful number, since it uses less digits than its factorization.

106032401664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14096 (or 14082 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 106032401664 in words is "one hundred six billion, thirty-two million, four hundred one thousand, six hundred sixty-four".