106218774900 has 648 divisors, whose sum is σ = 412664275296. Its totient is φ = 23612601600.

The previous prime is 106218774841. The next prime is 106218774901. The reversal of 106218774900 is 9477812601.

It is a happy number.

106218774900 is a `hidden beast` number, since 10 + 621 + 8 + 7 + 7 + 4 + 9 + 0 + 0 = 666.

It is a super-2 number, since 2×106218774900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106218774901) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 44054695 + ... + 44057105.

Almost surely, 2^106218774900 is an apocalyptic number.

106218774900 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 106218774900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206332137648).

106218774900 is an abundant number, since it is smaller than the sum of its proper divisors (306445500396).

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

106218774900 is a wasteful number, since it uses less digits than its factorization.

106218774900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2491 (or 2465 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 106218774900 in words is "one hundred six billion, two hundred eighteen million, seven hundred seventy-four thousand, nine hundred".