106641006000 has 320 divisors, whose sum is σ = 350910683136. Its totient is φ = 27855744000.

The previous prime is 106641005963. The next prime is 106641006023. The reversal of 106641006000 is 600146601.

It is a super-2 number, since 2×106641006000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 73697277 + ... + 73698723.

Almost surely, 2^106641006000 is an apocalyptic number.

106641006000 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 106641006000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175455341568).

106641006000 is an abundant number, since it is smaller than the sum of its proper divisors (244269677136).

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

106641006000 is a wasteful number, since it uses less digits than its factorization.

106641006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1717 (or 1701 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 106641006000 in words is "one hundred six billion, six hundred forty-one million, six thousand".