106511072640 has 768 divisors, whose sum is σ = 412990280640. Its totient is φ = 23258726400.

The previous prime is 106511072639. The next prime is 106511072677. The reversal of 106511072640 is 46270115601.

It is a super-2 number, since 2×106511072640² (a number of 23 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, 204435580 + ... + 204436100.

Almost surely, 2^106511072640 is an apocalyptic number.

106511072640 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 106511072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206495140320).

106511072640 is an abundant number, since it is smaller than the sum of its proper divisors (306479208000).

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

106511072640 is a wasteful number, since it uses less digits than its factorization.

106511072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The spelling of 106511072640 in words is "one hundred six billion, five hundred eleven million, seventy-two thousand, six hundred forty".