101658206160 has 480 divisors, whose sum is σ = 415950163200. Its totient is φ = 21719826432.

The previous prime is 101658206141. The next prime is 101658206173. The reversal of 101658206160 is 61602856101.

101658206160 is a `hidden beast` number, since 1 + 0 + 16 + 5 + 8 + 20 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12762339 + ... + 12770301.

It is an arithmetic number, because the mean of its divisors is an integer number (866562840).

Almost surely, 2^101658206160 is an apocalyptic number.

101658206160 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 101658206160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207975081600).

101658206160 is an abundant number, since it is smaller than the sum of its proper divisors (314291957040).

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

101658206160 is a wasteful number, since it uses less digits than its factorization.

101658206160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8155 (or 8146 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 101658206160 in words is "one hundred one billion, six hundred fifty-eight million, two hundred six thousand, one hundred sixty".