106764739200 has 1440 divisors, whose sum is σ = 478130067360. Its totient is φ = 22977146880.

The previous prime is 106764739183. The next prime is 106764739201. The reversal of 106764739200 is 2937467601.

106764739200 is a `hidden beast` number, since 106 + 76 + 473 + 9 + 2 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×106764739200² (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 (106764739201) by changing a digit.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 654998319 + ... + 654998481.

It is an arithmetic number, because the mean of its divisors is an integer number (332034769).

Almost surely, 2^106764739200 is an apocalyptic number.

106764739200 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 106764739200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239065033680).

106764739200 is an abundant number, since it is smaller than the sum of its proper divisors (371365328160).

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

106764739200 is a wasteful number, since it uses less digits than its factorization.

106764739200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 106764739200 in words is "one hundred six billion, seven hundred sixty-four million, seven hundred thirty-nine thousand, two hundred".