106549364736 has 288 divisors, whose sum is σ = 320570097120. Its totient is φ = 35356704768.

The previous prime is 106549364689. The next prime is 106549364741. The reversal of 106549364736 is 637463945601.

106549364736 is a `hidden beast` number, since 1 + 0 + 6 + 549 + 3 + 64 + 7 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×106549364736² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 172689100 + ... + 172689716.

It is an arithmetic number, because the mean of its divisors is an integer number (1113090615).

Almost surely, 2^106549364736 is an apocalyptic number.

106549364736 is a gapful number since it is divisible by the number (16) 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 106549364736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160285048560).

106549364736 is an abundant number, since it is smaller than the sum of its proper divisors (214020732384).

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

106549364736 is an frugal number, since it uses more digits than its factorization.

106549364736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1001 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 106549364736 in words is "one hundred six billion, five hundred forty-nine million, three hundred sixty-four thousand, seven hundred thirty-six".