106165416500 has 384 divisors, whose sum is σ = 303671047680. Its totient is φ = 31767552000.

The previous prime is 106165416493. The next prime is 106165416509. The reversal of 106165416500 is 5614561601.

It is a super-2 number, since 2×106165416500² (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 (106165416509) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23092202 + ... + 23096798.

It is an arithmetic number, because the mean of its divisors is an integer number (790810020).

Almost surely, 2^106165416500 is an apocalyptic number.

106165416500 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 106165416500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151835523840).

106165416500 is an abundant number, since it is smaller than the sum of its proper divisors (197505631180).

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

106165416500 is a wasteful number, since it uses less digits than its factorization.

106165416500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4676 (or 4664 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 106165416500 in words is "one hundred six billion, one hundred sixty-five million, four hundred sixteen thousand, five hundred".