106183862817120 has 288 divisors, whose sum is σ = 395370193720320. Its totient is φ = 25736552248320.

The previous prime is 106183862817113. The next prime is 106183862817157. The reversal of 106183862817120 is 21718268381601.

106183862817120 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 8 + 3 + 8 + 628 + 1 + 7 + 1 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106183862817120² (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 47 ways as a sum of consecutive naturals, for example, 81388177 + ... + 82682543.

It is an arithmetic number, because the mean of its divisors is an integer number (1372813172640).

Almost surely, 2^{106183862817120} is an apocalyptic number.

106183862817120 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 106183862817120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197685096860160).

106183862817120 is an abundant number, since it is smaller than the sum of its proper divisors (289186330903200).

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

106183862817120 is a wasteful number, since it uses less digits than its factorization.

106183862817120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299578 (or 1299567 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 54.

The spelling of 106183862817120 in words is "one hundred six trillion, one hundred eighty-three billion, eight hundred sixty-two million, eight hundred seventeen thousand, one hundred twenty".