106763539667904 has 168 divisors, whose sum is σ = 349971174600320. Its totient is φ = 30483297741312.

The previous prime is 106763539667839. The next prime is 106763539667933. The reversal of 106763539667904 is 409766935367601.

It is a happy number.

106763539667904 is a `hidden beast` number, since 1 + 0 + 67 + 6 + 35 + 396 + 67 + 90 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a super-2 number, since 2×106763539667904² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2948074 + ... + 14906985.

Almost surely, 2^{106763539667904} is an apocalyptic number.

106763539667904 is a gapful number since it is divisible by the number (14) 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 106763539667904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174985587300160).

106763539667904 is an abundant number, since it is smaller than the sum of its proper divisors (243207634932416).

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

106763539667904 is a wasteful number, since it uses less digits than its factorization.

106763539667904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17856567 (or 17856554 counting only the distinct ones).

The product of its (nonzero) digits is 925888320, while the sum is 72.

The spelling of 106763539667904 in words is "one hundred six trillion, seven hundred sixty-three billion, five hundred thirty-nine million, six hundred sixty-seven thousand, nine hundred four".