106633137345504 has 1536 divisors, whose sum is σ = 390431549620224. Its totient is φ = 24622440775680.

The previous prime is 106633137345473. The next prime is 106633137345517. The reversal of 106633137345504 is 405543731336601.

It is a super-2 number, since 2×106633137345504² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 83502847714 + ... + 83502848990.

It is an arithmetic number, because the mean of its divisors is an integer number (254187206784).

Almost surely, 2^{106633137345504} is an apocalyptic number.

106633137345504 is a gapful number since it is divisible by the number (14) 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 106633137345504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195215774810112).

106633137345504 is an abundant number, since it is smaller than the sum of its proper divisors (283798412274720).

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

106633137345504 is a wasteful number, since it uses less digits than its factorization.

106633137345504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 51.

The spelling of 106633137345504 in words is "one hundred six trillion, six hundred thirty-three billion, one hundred thirty-seven million, three hundred forty-five thousand, five hundred four".