106010501616 has 120 divisors (see below), whose sum is σ = 299821167360. Its totient is φ = 34964041728.

The previous prime is 106010501609. The next prime is 106010501621. The reversal of 106010501616 is 616105010601.

106010501616 is a `hidden beast` number, since 1 + 0 + 601 + 0 + 50 + 1 + 6 + 1 + 6 = 666.

It is a super-2 number, since 2×106010501616² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106010501616.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10034545 + ... + 10045103.

It is an arithmetic number, because the mean of its divisors is an integer number (2498509728).

Almost surely, 2^106010501616 is an apocalyptic number.

106010501616 is a gapful number since it is divisible by the number (16) 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 106010501616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149910583680).

106010501616 is an abundant number, since it is smaller than the sum of its proper divisors (193810665744).

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

106010501616 is a wasteful number, since it uses less digits than its factorization.

106010501616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11303 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 106010501616 in words is "one hundred six billion, ten million, five hundred one thousand, six hundred sixteen".