106615359406080 has 1408 divisors, whose sum is σ = 452259948441600. Its totient is φ = 23299727818752.

The previous prime is 106615359406037. The next prime is 106615359406091. The reversal of 106615359406080 is 80604953516601.

106615359406080 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 1 + 535 + 9 + 40 + 60 + 8 + 0 = 666.

It is a super-2 number, since 2×106615359406080² (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 63 ways as a sum of consecutive naturals, for example, 45581597551 + ... + 45581599889.

Almost surely, 2^{106615359406080} is an apocalyptic number.

106615359406080 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 106615359406080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226129974220800).

106615359406080 is an abundant number, since it is smaller than the sum of its proper divisors (345644589035520).

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

106615359406080 is an frugal number, since it uses more digits than its factorization.

106615359406080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2425 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 106615359406080 in words is "one hundred six trillion, six hundred fifteen billion, three hundred fifty-nine million, four hundred six thousand, eighty".