106141696960 has 112 divisors (see below), whose sum is σ = 272598038496. Its totient is φ = 39132352512.

The previous prime is 106141696943. The next prime is 106141697021. The reversal of 106141696960 is 69696141601.

It is a super-2 number, since 2×106141696960² (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, 2822602 + ... + 2859958.

It is an arithmetic number, because the mean of its divisors is an integer number (2433911058).

Almost surely, 2^106141696960 is an apocalyptic number.

106141696960 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 106141696960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136299019248).

106141696960 is an abundant number, since it is smaller than the sum of its proper divisors (166456341536).

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

106141696960 is a wasteful number, since it uses less digits than its factorization.

106141696960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38070 (or 38060 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 49.

The spelling of 106141696960 in words is "one hundred six billion, one hundred forty-one million, six hundred ninety-six thousand, nine hundred sixty".