106285942264320 has 6400 divisors, whose sum is σ = 520015036907520. Its totient is φ = 20123143372800.

The previous prime is 106285942264309. The next prime is 106285942264363. The reversal of 106285942264320 is 23462249582601.

106285942264320 is a `hidden beast` number, since 1 + 0 + 6 + 2 + 8 + 5 + 94 + 226 + 4 + 320 = 666.

It is a super-2 number, since 2×106285942264320² (a number of 29 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 639 ways as a sum of consecutive naturals, for example, 811343070655 + ... + 811343070785.

Almost surely, 2^{106285942264320} is an apocalyptic number.

106285942264320 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 106285942264320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260007518453760).

106285942264320 is an abundant number, since it is smaller than the sum of its proper divisors (413729094643200).

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

106285942264320 is a wasteful number, since it uses less digits than its factorization.

106285942264320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 106285942264320 in words is "one hundred six trillion, two hundred eighty-five billion, nine hundred forty-two million, two hundred sixty-four thousand, three hundred twenty".