106151218800 has 360 divisors, whose sum is σ = 380126087040. Its totient is φ = 25295424000.

The previous prime is 106151218781. The next prime is 106151218891. The reversal of 106151218800 is 8812151601.

It is a super-2 number, since 2×106151218800² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 8560605 + ... + 8572995.

Almost surely, 2^106151218800 is an apocalyptic number.

106151218800 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 106151218800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190063043520).

106151218800 is an abundant number, since it is smaller than the sum of its proper divisors (273974868240).

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

106151218800 is a wasteful number, since it uses less digits than its factorization.

106151218800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12493 (or 12471 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 33.

The spelling of 106151218800 in words is "one hundred six billion, one hundred fifty-one million, two hundred eighteen thousand, eight hundred".