106013428527600 has 1680 divisors, whose sum is σ = 435567129490944. Its totient is φ = 24533777664000.

The previous prime is 106013428527599. The next prime is 106013428527613. The reversal of 106013428527600 is 6725824310601.

106013428527600 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 34 + 2 + 8 + 5 + 2 + 7 + 600 = 666.

It is a super-2 number, since 2×106013428527600² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 47732294490 + ... + 47732296710.

Almost surely, 2^{106013428527600} is an apocalyptic number.

106013428527600 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 106013428527600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217783564745472).

106013428527600 is an abundant number, since it is smaller than the sum of its proper divisors (329553700963344).

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

106013428527600 is a wasteful number, since it uses less digits than its factorization.

106013428527600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2938 (or 2912 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 106013428527600 in words is "one hundred six trillion, thirteen billion, four hundred twenty-eight million, five hundred twenty-seven thousand, six hundred".