106008857293824 has 66 divisors (see below), whose sum is σ = 306098274923090. Its totient is φ = 35336285761536.

The previous prime is 106008857293789. The next prime is 106008857293883. The reversal of 106008857293824 is 428392758800601.

106008857293824 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 8 + 8 + 572 + 9 + 38 + 24 = 666.

It can be written as a sum of positive squares in only one way, i.e., 106007616000000 + 1241293824 = 10296000^2 + 35232^2 .

It is a super-2 number, since 2×106008857293824² (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 5 ways as a sum of consecutive naturals, for example, 5751339379 + ... + 5751357810.

It is a 1-persistent number, because it is pandigital, but 2⋅106008857293824 = 212017714587648 is not.

Almost surely, 2^{106008857293824} is an apocalyptic number.

It is an amenable number.

106008857293824 is an abundant number, since it is smaller than the sum of its proper divisors (200089417629266).

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

106008857293824 is a wasteful number, since it uses less digits than its factorization.

106008857293824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11502697215 (or 11502697194 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 106008857293824 in words is "one hundred six trillion, eight billion, eight hundred fifty-seven million, two hundred ninety-three thousand, eight hundred twenty-four".