106153529436864 has 1008 divisors, whose sum is σ = 407169615984768. Its totient is φ = 26116323803136.

The previous prime is 106153529436821. The next prime is 106153529436887. The reversal of 106153529436864 is 468634925351601.

106153529436864 is a `hidden beast` number, since 1 + 0 + 6 + 1 + 5 + 3 + 529 + 43 + 6 + 8 + 64 = 666.

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

It is a super-2 number, since 2×106153529436864² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 704762649 + ... + 704913255.

It is an arithmetic number, because the mean of its divisors is an integer number (403938111096).

Almost surely, 2^{106153529436864} is an apocalyptic number.

106153529436864 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 106153529436864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203584807992384).

106153529436864 is an abundant number, since it is smaller than the sum of its proper divisors (301016086547904).

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

106153529436864 is a wasteful number, since it uses less digits than its factorization.

106153529436864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150782 (or 150762 counting only the distinct ones).

The product of its (nonzero) digits is 111974400, while the sum is 63.

The spelling of 106153529436864 in words is "one hundred six trillion, one hundred fifty-three billion, five hundred twenty-nine million, four hundred thirty-six thousand, eight hundred sixty-four".