106894307520 has 1008 divisors, whose sum is σ = 502567517088. Its totient is φ = 20499333120.

The previous prime is 106894307519. The next prime is 106894307537. The reversal of 106894307520 is 25703498601.

106894307520 is a `hidden beast` number, since 1 + 0 + 6 + 8 + 94 + 30 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a super-2 number, since 2×106894307520² (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 an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 20177512 + ... + 20182808.

It is an arithmetic number, because the mean of its divisors is an integer number (498578886).

It is a 1-persistent number, because it is pandigital, but 2⋅106894307520 = 213788615040 is not.

Almost surely, 2^106894307520 is an apocalyptic number.

106894307520 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 106894307520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251283758544).

106894307520 is an abundant number, since it is smaller than the sum of its proper divisors (395673209568).

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

106894307520 is a wasteful number, since it uses less digits than its factorization.

106894307520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5358 (or 5338 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 106894 and 307520, that added together give a palindrome (414414).

The spelling of 106894307520 in words is "one hundred six billion, eight hundred ninety-four million, three hundred seven thousand, five hundred twenty".