106659028869120 has 3584 divisors, whose sum is σ = 488287844352000. Its totient is φ = 21936838017024.

The previous prime is 106659028869089. The next prime is 106659028869131. The reversal of 106659028869120 is 21968820956601.

106659028869120 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 590 + 28 + 8 + 6 + 9 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3584).

It is a super-2 number, since 2×106659028869120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 212045782789 + ... + 212045783291.

It is an arithmetic number, because the mean of its divisors is an integer number (136241028000).

Almost surely, 2^{106659028869120} is an apocalyptic number.

106659028869120 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 106659028869120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244143922176000).

106659028869120 is an abundant number, since it is smaller than the sum of its proper divisors (381628815482880).

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

106659028869120 is an equidigital number, since it uses as much as digits as its factorization.

106659028869120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 620 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 106659028869120 in words is "one hundred six trillion, six hundred fifty-nine billion, twenty-eight million, eight hundred sixty-nine thousand, one hundred twenty".