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106396665480 = 23355744797
BaseRepresentation
bin110001100010110111…
…1000100011010001000
3101011121222002121200000
41203011233010122020
53220400021243410
6120513345443000
710454415510000
oct1430557043210
9334558077600
10106396665480
11411391645a6
1218754040460
13a057b200c1
145214807000
152b7aac7dc0
hex18c5bc4688

106396665480 has 960 divisors, whose sum is σ = 431642615040. Its totient is φ = 23556427776.

The previous prime is 106396665437. The next prime is 106396665497. The reversal of 106396665480 is 84566693601.

It is a super-2 number, since 2×1063966654802 (a number of 23 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 239 ways as a sum of consecutive naturals, for example, 1096872792 + ... + 1096872888.

It is an arithmetic number, because the mean of its divisors is an integer number (449627724).

Almost surely, 2106396665480 is an apocalyptic number.

106396665480 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 106396665480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215821307520).

106396665480 is an abundant number, since it is smaller than the sum of its proper divisors (325245949560).

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

106396665480 is an frugal number, since it uses more digits than its factorization.

106396665480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 106396665480 in words is "one hundred six billion, three hundred ninety-six million, six hundred sixty-five thousand, four hundred eighty".