106018956815616 has 576 divisors, whose sum is σ = 358454519216640. Its totient is φ = 30619845918720.

The previous prime is 106018956815593. The next prime is 106018956815647. The reversal of 106018956815616 is 616518659810601.

106018956815616 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 8 + 9 + 5 + 6 + 8 + 1 + 5 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×106018956815616² (a number of 29 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 63 ways as a sum of consecutive naturals, for example, 569683861 + ... + 569869931.

It is an arithmetic number, because the mean of its divisors is an integer number (622316873640).

Almost surely, 2^{106018956815616} is an apocalyptic number.

106018956815616 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 106018956815616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179227259608320).

106018956815616 is an abundant number, since it is smaller than the sum of its proper divisors (252435562401024).

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

106018956815616 is a wasteful number, since it uses less digits than its factorization.

106018956815616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186499 (or 186479 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 63.

The spelling of 106018956815616 in words is "one hundred six trillion, eighteen billion, nine hundred fifty-six million, eight hundred fifteen thousand, six hundred sixteen".