106101600 has 144 divisors (see below), whose sum is σ = 376850880. Its totient is φ = 25715200.

The previous prime is 106101577. The next prime is 106101629. The reversal of 106101600 is 6101601.

It is a super-3 number, since 3×106101600³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 106101600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24391 + ... + 28409.

It is an arithmetic number, because the mean of its divisors is an integer number (2617020).

Almost surely, 2^106101600 is an apocalyptic number.

106101600 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 106101600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188425440).

106101600 is an abundant number, since it is smaller than the sum of its proper divisors (270749280).

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

106101600 is a wasteful number, since it uses less digits than its factorization.

106101600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4040 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 106101600 is about 10300.5630914043. The cubic root of 106101600 is about 473.4135066646.

Subtracting from 106101600 its reverse (6101601), we obtain a palindrome (99999999).

The spelling of 106101600 in words is "one hundred six million, one hundred one thousand, six hundred".