100769380200 has 576 divisors, whose sum is σ = 379661592960. Its totient is φ = 23819304960.

The previous prime is 100769380193. The next prime is 100769380219. The reversal of 100769380200 is 2083967001.

100769380200 is a `hidden beast` number, since 1 + 0 + 0 + 76 + 9 + 380 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 47153532 + ... + 47155668.

It is an arithmetic number, because the mean of its divisors is an integer number (659134710).

Almost surely, 2^100769380200 is an apocalyptic number.

100769380200 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 100769380200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189830796480).

100769380200 is an abundant number, since it is smaller than the sum of its proper divisors (278892212760).

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

100769380200 is a wasteful number, since it uses less digits than its factorization.

100769380200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2266 (or 2254 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 100769380200 in words is "one hundred billion, seven hundred sixty-nine million, three hundred eighty thousand, two hundred".