106363033522560 has 192 divisors, whose sum is σ = 367291728910080. Its totient is φ = 28362944397312.

The previous prime is 106363033522523. The next prime is 106363033522561. The reversal of 106363033522560 is 65225330363601.

It is a happy number.

106363033522560 is a `hidden beast` number, since 1 + 0 + 6 + 3 + 6 + 3 + 0 + 33 + 52 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×106363033522560² (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 not an unprimeable number, because it can be changed into a prime (106363033522561) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 379922152 + ... + 380202008.

It is an arithmetic number, because the mean of its divisors is an integer number (1912977754740).

Almost surely, 2^{106363033522560} is an apocalyptic number.

106363033522560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106363033522560 is an abundant number, since it is smaller than the sum of its proper divisors (260928695387520).

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

106363033522560 is a wasteful number, since it uses less digits than its factorization.

106363033522560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345865 (or 345850 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 45.

The spelling of 106363033522560 in words is "one hundred six trillion, three hundred sixty-three billion, thirty-three million, five hundred twenty-two thousand, five hundred sixty".