106006118400 has 1224 divisors, whose sum is σ = 473281652480. Its totient is φ = 22083010560.

The previous prime is 106006118377. The next prime is 106006118423. The reversal of 106006118400 is 4811600601.

106006118400 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 611 + 8 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (106006118377) and next prime (106006118423).

It is a super-2 number, since 2×106006118400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1341849561 + ... + 1341849639.

Almost surely, 2^106006118400 is an apocalyptic number.

106006118400 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 106006118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236640826240).

106006118400 is an abundant number, since it is smaller than the sum of its proper divisors (367275534080).

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

106006118400 is an equidigital number, since it uses as much as digits as its factorization.

106006118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The spelling of 106006118400 in words is "one hundred six billion, six million, one hundred eighteen thousand, four hundred".