100199546032404 has 768 divisors, whose sum is σ = 306028722585600. Its totient is φ = 24817043865600.

The previous prime is 100199546032403. The next prime is 100199546032409. The reversal of 100199546032404 is 404230645991001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100199546032403) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 120867968262 + ... + 120867969090.

It is an arithmetic number, because the mean of its divisors is an integer number (398474899200).

Almost surely, 2^{100199546032404} is an apocalyptic number.

100199546032404 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 100199546032404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153014361292800).

100199546032404 is an abundant number, since it is smaller than the sum of its proper divisors (205829176553196).

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

100199546032404 is a wasteful number, since it uses less digits than its factorization.

100199546032404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1824 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 100199546032404 in words is "one hundred trillion, one hundred ninety-nine billion, five hundred forty-six million, thirty-two thousand, four hundred four".