106200702720 has 1728 divisors, whose sum is σ = 481926144000. Its totient is φ = 22109552640.

The previous prime is 106200702709. The next prime is 106200702743. The reversal of 106200702720 is 27207002601.

106200702720 is a `hidden beast` number, since 10 + 620 + 0 + 7 + 0 + 2 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×106200702720² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3425829105 + ... + 3425829135.

Almost surely, 2^106200702720 is an apocalyptic number.

106200702720 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 106200702720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240963072000).

106200702720 is an abundant number, since it is smaller than the sum of its proper divisors (375725441280).

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

106200702720 is an equidigital number, since it uses as much as digits as its factorization.

106200702720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 106200702720 in words is "one hundred six billion, two hundred million, seven hundred two thousand, seven hundred twenty".