106913260800 has 270 divisors, whose sum is σ = 395308955118. Its totient is φ = 28510064640.

The previous prime is 106913260781. The next prime is 106913260801. The reversal of 106913260800 is 8062319601.

106913260800 is a `hidden beast` number, since 10 + 6 + 9 + 1 + 32 + 608 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 36021003264 + 70892257536 = 189792^2 + 266256^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a super-2 number, since 2×106913260800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106913260801) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 415282 + ... + 621518.

Almost surely, 2^106913260800 is an apocalyptic number.

106913260800 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 106913260800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197654477559).

106913260800 is an abundant number, since it is smaller than the sum of its proper divisors (288395694318).

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

106913260800 is an equidigital number, since it uses as much as digits as its factorization.

106913260800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206275 (or 206247 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 106913260800 in words is "one hundred six billion, nine hundred thirteen million, two hundred sixty thousand, eight hundred".