106815024000 has 768 divisors, whose sum is σ = 403816008960. Its totient is φ = 28055808000.

The previous prime is 106815023999. The next prime is 106815024013. The reversal of 106815024000 is 420518601.

106815024000 is a `hidden beast` number, since 106 + 8 + 150 + 2 + 400 + 0 = 666.

It is a super-2 number, since 2×106815024000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 322703835 + ... + 322704165.

It is an arithmetic number, because the mean of its divisors is an integer number (525802095).

Almost surely, 2^106815024000 is an apocalyptic number.

106815024000 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 106815024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201908004480).

106815024000 is an abundant number, since it is smaller than the sum of its proper divisors (297000984960).

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

106815024000 is an frugal number, since it uses more digits than its factorization.

106815024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The spelling of 106815024000 in words is "one hundred six billion, eight hundred fifteen million, twenty-four thousand".