106801201101600 has 288 divisors, whose sum is σ = 386766698472000. Its totient is φ = 28443280343040.

The previous prime is 106801201101583. The next prime is 106801201101629. The reversal of 106801201101600 is 6101102108601.

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

It is a super-2 number, since 2×106801201101600² (a number of 29 digits) contains 22 as substring.

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

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, 13395511 + ... + 19825289.

It is an arithmetic number, because the mean of its divisors is an integer number (1342939925250).

Almost surely, 2^{106801201101600} is an apocalyptic number.

106801201101600 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 106801201101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193383349236000).

106801201101600 is an abundant number, since it is smaller than the sum of its proper divisors (279965497370400).

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

106801201101600 is a wasteful number, since it uses less digits than its factorization.

106801201101600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6430577 (or 6430558 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 27.

The spelling of 106801201101600 in words is "one hundred six trillion, eight hundred one billion, two hundred one million, one hundred one thousand, six hundred".