106005376400 has 240 divisors, whose sum is σ = 318438190080. Its totient is φ = 32945164800.

The previous prime is 106005376397. The next prime is 106005376417. The reversal of 106005376400 is 4673500601.

It is a super-2 number, since 2×106005376400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11052407 + ... + 11061993.

It is an arithmetic number, because the mean of its divisors is an integer number (1326825792).

Almost surely, 2^106005376400 is an apocalyptic number.

106005376400 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 106005376400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159219095040).

106005376400 is an abundant number, since it is smaller than the sum of its proper divisors (212432813680).

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

106005376400 is a wasteful number, since it uses less digits than its factorization.

106005376400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9982 (or 9971 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The spelling of 106005376400 in words is "one hundred six billion, five million, three hundred seventy-six thousand, four hundred".