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108669104640 = 29325192343251
BaseRepresentation
bin110010100110100101…
…1101111001000000000
3101101111100002111011100
41211031023233020000
53240023242322030
6121531044014400
710564631102025
oct1451513571000
9341440074140
10108669104640
11420a4970798
1219089091400
13a32a865565
14538c53d54c
152c60353360
hex194d2ef200

108669104640 has 960 divisors, whose sum is σ = 424682818560. Its totient is φ = 25546752000.

The previous prime is 108669104611. The next prime is 108669104681. The reversal of 108669104640 is 46401966801.

It is a tau number, because it is divible by the number of its divisors (960).

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

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, 432944515 + ... + 432944765.

It is an arithmetic number, because the mean of its divisors is an integer number (442377936).

Almost surely, 2108669104640 is an apocalyptic number.

108669104640 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 108669104640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212341409280).

108669104640 is an abundant number, since it is smaller than the sum of its proper divisors (316013713920).

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

108669104640 is a wasteful number, since it uses less digits than its factorization.

108669104640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 346 counting only the distinct ones).

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

The spelling of 108669104640 in words is "one hundred eight billion, six hundred sixty-nine million, one hundred four thousand, six hundred forty".