106246771200 has 960 divisors, whose sum is σ = 413070704640. Its totient is φ = 26707968000.

The previous prime is 106246771171. The next prime is 106246771249. The reversal of 106246771200 is 2177642601.

106246771200 is a `hidden beast` number, since 1 + 0 + 624 + 6 + 7 + 7 + 1 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×106246771200² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 503539095 + ... + 503539305.

It is an arithmetic number, because the mean of its divisors is an integer number (430281984).

Almost surely, 2^106246771200 is an apocalyptic number.

106246771200 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 106246771200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206535352320).

106246771200 is an abundant number, since it is smaller than the sum of its proper divisors (306823933440).

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

106246771200 is a wasteful number, since it uses less digits than its factorization.

106246771200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 106246771200 in words is "one hundred six billion, two hundred forty-six million, seven hundred seventy-one thousand, two hundred".