106101705600 has 1440 divisors, whose sum is σ = 457974594000. Its totient is φ = 24086937600.

The previous prime is 106101705497. The next prime is 106101705601. The reversal of 106101705600 is 6507101601.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×106101705600² (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 not an unprimeable number, because it can be changed into a prime (106101705601) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 533174301 + ... + 533174499.

Almost surely, 2^106101705600 is an apocalyptic number.

106101705600 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 106101705600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228987297000).

106101705600 is an abundant number, since it is smaller than the sum of its proper divisors (351872888400).

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

106101705600 is a wasteful number, since it uses less digits than its factorization.

106101705600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The spelling of 106101705600 in words is "one hundred six billion, one hundred one million, seven hundred five thousand, six hundred".