100806337782108 has 240 divisors, whose sum is σ = 314469843308544. Its totient is φ = 27531954743040.

The previous prime is 100806337782107. The next prime is 100806337782109. The reversal of 100806337782108 is 801287733608001.

100806337782108 is a `hidden beast` number, since 10 + 0 + 80 + 6 + 3 + 377 + 82 + 108 = 666.

It is an interprime number because it is at equal distance from previous prime (100806337782107) and next prime (100806337782109).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100806337782107) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81124368 + ... + 82357608.

Almost surely, 2^{100806337782108} is an apocalyptic number.

100806337782108 is a gapful number since it is divisible by the number (18) 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 100806337782108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157234921654272).

100806337782108 is an abundant number, since it is smaller than the sum of its proper divisors (213663505526436).

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

100806337782108 is a wasteful number, since it uses less digits than its factorization.

100806337782108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234854 (or 1234843 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 100806337782108 in words is "one hundred trillion, eight hundred six billion, three hundred thirty-seven million, seven hundred eighty-two thousand, one hundred eight".