106520243544400 has 240 divisors, whose sum is σ = 316188280888960. Its totient is φ = 33663946291200.

The previous prime is 106520243544391. The next prime is 106520243544401. The reversal of 106520243544400 is 4445342025601.

It is a super-3 number, since 3×106520243544400³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106520243544401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25089171 + ... + 29025970.

Almost surely, 2^{106520243544400} is an apocalyptic number.

106520243544400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106520243544400 is an abundant number, since it is smaller than the sum of its proper divisors (209668037344560).

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

106520243544400 is a wasteful number, since it uses less digits than its factorization.

106520243544400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54115222 (or 54115211 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 40.

The spelling of 106520243544400 in words is "one hundred six trillion, five hundred twenty billion, two hundred forty-three million, five hundred forty-four thousand, four hundred".