106276769280 has 1120 divisors, whose sum is σ = 432800299008. Its totient is φ = 24783667200.

The previous prime is 106276769273. The next prime is 106276769317. The reversal of 106276769280 is 82967672601.

106276769280 is a `hidden beast` number, since 1 + 0 + 627 + 6 + 7 + 6 + 9 + 2 + 8 + 0 = 666.

It is a super-2 number, since 2×106276769280² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 636387757 + ... + 636387923.

Almost surely, 2^106276769280 is an apocalyptic number.

106276769280 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 106276769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216400149504).

106276769280 is an abundant number, since it is smaller than the sum of its proper divisors (326523529728).

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

106276769280 is an equidigital number, since it uses as much as digits as its factorization.

106276769280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 106276769280 in words is "one hundred six billion, two hundred seventy-six million, seven hundred sixty-nine thousand, two hundred eighty".