106013553020928 has 1664 divisors, whose sum is σ = 387254753280000. Its totient is φ = 27986903433216.

The previous prime is 106013553020819. The next prime is 106013553020933. The reversal of 106013553020928 is 829020355310601.

106013553020928 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 1 + 3 + 5 + 530 + 20 + 92 + 8 = 666.

It is a super-2 number, since 2×106013553020928² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 186315558628 + ... + 186315559196.

Almost surely, 2^{106013553020928} is an apocalyptic number.

106013553020928 is a gapful number since it is divisible by the number (18) 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 106013553020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193627376640000).

106013553020928 is an abundant number, since it is smaller than the sum of its proper divisors (281241200259072).

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

106013553020928 is a wasteful number, since it uses less digits than its factorization.

106013553020928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 892 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 106013553020928 in words is "one hundred six trillion, thirteen billion, five hundred fifty-three million, twenty thousand, nine hundred twenty-eight".