106587534690000 has 3200 divisors, whose sum is σ = 486510166912000. Its totient is φ = 22468223232000.

The previous prime is 106587534689969. The next prime is 106587534690047. The reversal of 106587534690000 is 96435785601.

106587534690000 is a `hidden beast` number, since 1 + 0 + 6 + 587 + 53 + 4 + 6 + 9 + 0 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×106587534690000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 97518329454 + ... + 97518330546.

It is an arithmetic number, because the mean of its divisors is an integer number (152034427160).

Almost surely, 2^{106587534690000} is an apocalyptic number.

106587534690000 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 106587534690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243255083456000).

106587534690000 is an abundant number, since it is smaller than the sum of its proper divisors (379922632222000).

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

106587534690000 is an frugal number, since it uses more digits than its factorization.

106587534690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1176 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 106587534690000 in words is "one hundred six trillion, five hundred eighty-seven billion, five hundred thirty-four million, six hundred ninety thousand".