106803098400 has 288 divisors, whose sum is σ = 375046495488. Its totient is φ = 26299187200.

The previous prime is 106803098393. The next prime is 106803098407. The reversal of 106803098400 is 4890308601.

It is an interprime number because it is at equal distance from previous prime (106803098393) and next prime (106803098407).

It is a super-2 number, since 2×106803098400² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106803098407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2137705 + ... + 2187095.

It is an arithmetic number, because the mean of its divisors is an integer number (1302244776).

Almost surely, 2^106803098400 is an apocalyptic number.

106803098400 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 106803098400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187523247744).

106803098400 is an abundant number, since it is smaller than the sum of its proper divisors (268243397088).

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

106803098400 is a wasteful number, since it uses less digits than its factorization.

106803098400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49484 (or 49471 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The spelling of 106803098400 in words is "one hundred six billion, eight hundred three million, ninety-eight thousand, four hundred".