104772289707400 has 192 divisors, whose sum is σ = 290616758265600. Its totient is φ = 34346184744960.

The previous prime is 104772289707383. The next prime is 104772289707409. The reversal of 104772289707400 is 4707982277401.

It is a super-2 number, since 2×104772289707400² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (104772289707409) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 78972736 + ... + 80288464.

It is an arithmetic number, because the mean of its divisors is an integer number (1513628949300).

Almost surely, 2^{104772289707400} is an apocalyptic number.

104772289707400 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 104772289707400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145308379132800).

104772289707400 is an abundant number, since it is smaller than the sum of its proper divisors (185844468558200).

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

104772289707400 is a wasteful number, since it uses less digits than its factorization.

104772289707400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1318248 (or 1318239 counting only the distinct ones).

The product of its (nonzero) digits is 11063808, while the sum is 58.

The spelling of 104772289707400 in words is "one hundred four trillion, seven hundred seventy-two billion, two hundred eighty-nine million, seven hundred seven thousand, four hundred".