106899056280 has 192 divisors, whose sum is σ = 366131750400. Its totient is φ = 26974736640.

The previous prime is 106899056279. The next prime is 106899056287. The reversal of 106899056280 is 82650998601.

It is a happy number.

106899056280 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 9 + 9 + 0 + 5 + 628 + 0 = 666.

It is a super-2 number, since 2×106899056280² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106899056287) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6195265 + ... + 6212495.

It is an arithmetic number, because the mean of its divisors is an integer number (1906936200).

Almost surely, 2^106899056280 is an apocalyptic number.

106899056280 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 106899056280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183065875200).

106899056280 is an abundant number, since it is smaller than the sum of its proper divisors (259232694120).

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

106899056280 is a wasteful number, since it uses less digits than its factorization.

106899056280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18174 (or 18167 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 106899056280 in words is "one hundred six billion, eight hundred ninety-nine million, fifty-six thousand, two hundred eighty".