106916210288640 has 672 divisors, whose sum is σ = 404872575962400. Its totient is φ = 27010375188480.

The previous prime is 106916210288623. The next prime is 106916210288681. The reversal of 106916210288640 is 46882012619601.

106916210288640 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 1 + 621 + 0 + 2 + 8 + 8 + 6 + 4 + 0 = 666.

It is a super-2 number, since 2×106916210288640² (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 an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 141457335 + ... + 142211145.

It is an arithmetic number, because the mean of its divisors is an integer number (602488952325).

Almost surely, 2^{106916210288640} is an apocalyptic number.

106916210288640 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 106916210288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202436287981200).

106916210288640 is an abundant number, since it is smaller than the sum of its proper divisors (297956365673760).

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

106916210288640 is an frugal number, since it uses more digits than its factorization.

106916210288640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753875 (or 753840 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 106916210288640 in words is "one hundred six trillion, nine hundred sixteen billion, two hundred ten million, two hundred eighty-eight thousand, six hundred forty".