106876367801280 has 1120 divisors, whose sum is σ = 485549268728832. Its totient is φ = 21666399436800.

The previous prime is 106876367801267. The next prime is 106876367801303. The reversal of 106876367801280 is 82108763678601.

106876367801280 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 76 + 367 + 80 + 128 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-2 number, since 2×106876367801280² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 81176397 + ... + 82482483.

Almost surely, 2^{106876367801280} is an apocalyptic number.

106876367801280 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 106876367801280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242774634364416).

106876367801280 is an abundant number, since it is smaller than the sum of its proper divisors (378672900927552).

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

106876367801280 is a wasteful number, since it uses less digits than its factorization.

106876367801280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306175 (or 1306156 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 106876367801280 in words is "one hundred six trillion, eight hundred seventy-six billion, three hundred sixty-seven million, eight hundred one thousand, two hundred eighty".