106062835536000 has 1536 divisors, whose sum is σ = 474207514560000. Its totient is φ = 23188786790400.

The previous prime is 106062835535983. The next prime is 106062835536011. The reversal of 106062835536000 is 635538260601.

106062835536000 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 6 + 2 + 8 + 35 + 5 + 3 + 600 + 0 = 666.

It is a super-2 number, since 2×106062835536000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 486755076 + ... + 486972924.

It is an arithmetic number, because the mean of its divisors is an integer number (308728850625).

Almost surely, 2^{106062835536000} is an apocalyptic number.

106062835536000 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 106062835536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237103757280000).

106062835536000 is an abundant number, since it is smaller than the sum of its proper divisors (368144679024000).

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

106062835536000 is a wasteful number, since it uses less digits than its factorization.

106062835536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217924 (or 217889 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 106062835536000 in words is "one hundred six trillion, sixty-two billion, eight hundred thirty-five million, five hundred thirty-six thousand".