100396699200 has 1512 divisors, whose sum is σ = 449279101440. Its totient is φ = 20802355200.

The previous prime is 100396699121. The next prime is 100396699243. The reversal of 100396699200 is 2996693001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1128052756 + ... + 1128052844.

Almost surely, 2^100396699200 is an apocalyptic number.

100396699200 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 100396699200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224639550720).

100396699200 is an abundant number, since it is smaller than the sum of its proper divisors (348882402240).

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

100396699200 is a wasteful number, since it uses less digits than its factorization.

100396699200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The spelling of 100396699200 in words is "one hundred billion, three hundred ninety-six million, six hundred ninety-nine thousand, two hundred".