106160214624 has 96 divisors (see below), whose sum is σ = 288525978720. Its totient is φ = 34137341952.

The previous prime is 106160214617. The next prime is 106160214631. The reversal of 106160214624 is 426412061601.

It is an interprime number because it is at equal distance from previous prime (106160214617) and next prime (106160214631).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106160214624² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3372462 + ... + 3403794.

It is an arithmetic number, because the mean of its divisors is an integer number (3005478945).

Almost surely, 2^106160214624 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 106160214624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144262989360).

106160214624 is an abundant number, since it is smaller than the sum of its proper divisors (182365764096).

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

106160214624 is a wasteful number, since it uses less digits than its factorization.

106160214624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32592 (or 32584 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 106160214624 in words is "one hundred six billion, one hundred sixty million, two hundred fourteen thousand, six hundred twenty-four".