106614408960 has 432 divisors, whose sum is σ = 378841042944. Its totient is φ = 27669454848.

The previous prime is 106614408959. The next prime is 106614408961. The reversal of 106614408960 is 69804416601.

106614408960 is a `hidden beast` number, since 10 + 6 + 61 + 440 + 89 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (106614408959) and next prime (106614408961).

It is a super-2 number, since 2×106614408960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106614408961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 120740679 + ... + 120741561.

Almost surely, 2^106614408960 is an apocalyptic number.

106614408960 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 106614408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189420521472).

106614408960 is an abundant number, since it is smaller than the sum of its proper divisors (272226633984).

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

106614408960 is a wasteful number, since it uses less digits than its factorization.

106614408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 106614408960 in words is "one hundred six billion, six hundred fourteen million, four hundred eight thousand, nine hundred sixty".