106587424880640 has 1152 divisors, whose sum is σ = 418094913600000. Its totient is φ = 24876405227520.

The previous prime is 106587424880639. The next prime is 106587424880653. The reversal of 106587424880640 is 46088424785601.

It is a happy number.

106587424880640 is a `hidden beast` number, since 1 + 0 + 6 + 58 + 7 + 42 + 488 + 0 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×106587424880640² (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 95 ways as a sum of consecutive naturals, for example, 10554250311 + ... + 10554260409.

It is an arithmetic number, because the mean of its divisors is an integer number (362929612500).

Almost surely, 2^{106587424880640} is an apocalyptic number.

106587424880640 is a gapful number since it is divisible by the number (10) 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 106587424880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209047456800000).

106587424880640 is an abundant number, since it is smaller than the sum of its proper divisors (311507488719360).

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

106587424880640 is a wasteful number, since it uses less digits than its factorization.

106587424880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10531 (or 10508 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 106587424880640 in words is "one hundred six trillion, five hundred eighty-seven billion, four hundred twenty-four million, eight hundred eighty thousand, six hundred forty".